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Finding the Fourth Proportional to 255.32, 382.74 and 101.17

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Solution

The fourth proportional to 255.32, 382.74 and 101.17 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.32 : 382.74 = 101.17 : x
  2. Step 2: Convert to fraction form
    255.32/382.74 = 101.17/x
  3. Step 3: Cross multiply
    255.32x = 382.74 × 101.17
  4. Step 4: Simplify right side
    255.32x = 38,720.32
  5. Step 5: Solve for x
    x = 38,720.32/255.32
  6. Step 6: Final answer
    x = 151.65

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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.