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Finding the Fourth Proportional to 284.16, 426.24 and 101.57

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Solution

The fourth proportional to 284.16, 426.24 and 101.57 is: 152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 426.24 = 101.57 : x
  2. Step 2: Convert to fraction form
    284.16/426.24 = 101.57/x
  3. Step 3: Cross multiply
    284.16x = 426.24 × 101.57
  4. Step 4: Simplify right side
    284.16x = 43,293.20
  5. Step 5: Solve for x
    x = 43,293.20/284.16
  6. Step 6: Final answer
    x = 152.36

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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.