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Finding the Fourth Proportional to 284.75, 392.94 and 174.18

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Solution

The fourth proportional to 284.75, 392.94 and 174.18 is: 240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 392.94 = 174.18 : x
  2. Step 2: Convert to fraction form
    284.75/392.94 = 174.18/x
  3. Step 3: Cross multiply
    284.75x = 392.94 × 174.18
  4. Step 4: Simplify right side
    284.75x = 68,442.29
  5. Step 5: Solve for x
    x = 68,442.29/284.75
  6. Step 6: Final answer
    x = 240.36

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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.