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Finding the Fourth Proportional to 284.67, 426.80 and 99.53

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Solution

The fourth proportional to 284.67, 426.80 and 99.53 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 426.80 = 99.53 : x
  2. Step 2: Convert to fraction form
    284.67/426.80 = 99.53/x
  3. Step 3: Cross multiply
    284.67x = 426.80 × 99.53
  4. Step 4: Simplify right side
    284.67x = 42,476.77
  5. Step 5: Solve for x
    x = 42,476.77/284.67
  6. Step 6: Final answer
    x = 149.21

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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.