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Finding the Fourth Proportional to 152.28, 228.33 and 106.17

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Solution

The fourth proportional to 152.28, 228.33 and 106.17 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 228.33 = 106.17 : x
  2. Step 2: Convert to fraction form
    152.28/228.33 = 106.17/x
  3. Step 3: Cross multiply
    152.28x = 228.33 × 106.17
  4. Step 4: Simplify right side
    152.28x = 24,241.80
  5. Step 5: Solve for x
    x = 24,241.80/152.28
  6. Step 6: Final answer
    x = 159.19

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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.