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Finding the Fourth Proportional to 284.23, 426.24 and 101.57

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Solution

The fourth proportional to 284.23, 426.24 and 101.57 is: 152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 426.24 = 101.57 : x
  2. Step 2: Convert to fraction form
    284.23/426.24 = 101.57/x
  3. Step 3: Cross multiply
    284.23x = 426.24 × 101.57
  4. Step 4: Simplify right side
    284.23x = 43,291.38
  5. Step 5: Solve for x
    x = 43,291.38/284.23
  6. Step 6: Final answer
    x = 152.31

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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.