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Finding the Fourth Proportional to 284.59, 426.64 and 147.72

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Solution

The fourth proportional to 284.59, 426.64 and 147.72 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 426.64 = 147.72 : x
  2. Step 2: Convert to fraction form
    284.59/426.64 = 147.72/x
  3. Step 3: Cross multiply
    284.59x = 426.64 × 147.72
  4. Step 4: Simplify right side
    284.59x = 63,023.26
  5. Step 5: Solve for x
    x = 63,023.26/284.59
  6. Step 6: Final answer
    x = 221.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.