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Finding the Fourth Proportional to 292.66, 439.06 and 87.22

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Solution

The fourth proportional to 292.66, 439.06 and 87.22 is: 130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.66 : 439.06 = 87.22 : x
  2. Step 2: Convert to fraction form
    292.66/439.06 = 87.22/x
  3. Step 3: Cross multiply
    292.66x = 439.06 × 87.22
  4. Step 4: Simplify right side
    292.66x = 38,294.81
  5. Step 5: Solve for x
    x = 38,294.81/292.66
  6. Step 6: Final answer
    x = 130.85

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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.