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Finding the Fourth Proportional to 240.45, 360.05 and 147.71

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Solution

The fourth proportional to 240.45, 360.05 and 147.71 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.45 : 360.05 = 147.71 : x
  2. Step 2: Convert to fraction form
    240.45/360.05 = 147.71/x
  3. Step 3: Cross multiply
    240.45x = 360.05 × 147.71
  4. Step 4: Simplify right side
    240.45x = 53,181.12
  5. Step 5: Solve for x
    x = 53,181.12/240.45
  6. Step 6: Final answer
    x = 221.17

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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.