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Finding the Fourth Proportional to 284.13, 424.49 and 180.54

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Solution

The fourth proportional to 284.13, 424.49 and 180.54 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 424.49 = 180.54 : x
  2. Step 2: Convert to fraction form
    284.13/424.49 = 180.54/x
  3. Step 3: Cross multiply
    284.13x = 424.49 × 180.54
  4. Step 4: Simplify right side
    284.13x = 76,636.52
  5. Step 5: Solve for x
    x = 76,636.52/284.13
  6. Step 6: Final answer
    x = 269.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.