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Finding the Fourth Proportional to 284.87, 427.01 and 147.75

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Solution

The fourth proportional to 284.87, 427.01 and 147.75 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.87 : 427.01 = 147.75 : x
  2. Step 2: Convert to fraction form
    284.87/427.01 = 147.75/x
  3. Step 3: Cross multiply
    284.87x = 427.01 × 147.75
  4. Step 4: Simplify right side
    284.87x = 63,089.99
  5. Step 5: Solve for x
    x = 63,089.99/284.87
  6. Step 6: Final answer
    x = 221.47

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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.