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Finding the Fourth Proportional to 284.18, 426.28 and 156.74

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Solution

The fourth proportional to 284.18, 426.28 and 156.74 is: 235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.18 : 426.28 = 156.74 : x
  2. Step 2: Convert to fraction form
    284.18/426.28 = 156.74/x
  3. Step 3: Cross multiply
    284.18x = 426.28 × 156.74
  4. Step 4: Simplify right side
    284.18x = 66,815.94
  5. Step 5: Solve for x
    x = 66,815.94/284.18
  6. Step 6: Final answer
    x = 235.12

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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.