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Finding the Fourth Proportional to 284.55, 392.61 and 173.99

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Solution

The fourth proportional to 284.55, 392.61 and 173.99 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 392.61 = 173.99 : x
  2. Step 2: Convert to fraction form
    284.55/392.61 = 173.99/x
  3. Step 3: Cross multiply
    284.55x = 392.61 × 173.99
  4. Step 4: Simplify right side
    284.55x = 68,310.21
  5. Step 5: Solve for x
    x = 68,310.21/284.55
  6. Step 6: Final answer
    x = 240.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.