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Finding the Fourth Proportional to 292.10, 438.15 and 118.71

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Solution

The fourth proportional to 292.10, 438.15 and 118.71 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 438.15 = 118.71 : x
  2. Step 2: Convert to fraction form
    292.10/438.15 = 118.71/x
  3. Step 3: Cross multiply
    292.10x = 438.15 × 118.71
  4. Step 4: Simplify right side
    292.10x = 52,010.60
  5. Step 5: Solve for x
    x = 52,010.60/292.10
  6. Step 6: Final answer
    x = 178.06

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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.