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Finding the Fourth Proportional to 214.92, 296.52 and 130.89

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Solution

The fourth proportional to 214.92, 296.52 and 130.89 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 296.52 = 130.89 : x
  2. Step 2: Convert to fraction form
    214.92/296.52 = 130.89/x
  3. Step 3: Cross multiply
    214.92x = 296.52 × 130.89
  4. Step 4: Simplify right side
    214.92x = 38,811.50
  5. Step 5: Solve for x
    x = 38,811.50/214.92
  6. Step 6: Final answer
    x = 180.59

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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.