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Finding the Fourth Proportional to 360.75, 540.65 and 152.28

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Solution

The fourth proportional to 360.75, 540.65 and 152.28 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.75 : 540.65 = 152.28 : x
  2. Step 2: Convert to fraction form
    360.75/540.65 = 152.28/x
  3. Step 3: Cross multiply
    360.75x = 540.65 × 152.28
  4. Step 4: Simplify right side
    360.75x = 82,330.18
  5. Step 5: Solve for x
    x = 82,330.18/360.75
  6. Step 6: Final answer
    x = 228.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.