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Finding the Fourth Proportional to 212.59, 293.49 and 129.72

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Solution

The fourth proportional to 212.59, 293.49 and 129.72 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.59 : 293.49 = 129.72 : x
  2. Step 2: Convert to fraction form
    212.59/293.49 = 129.72/x
  3. Step 3: Cross multiply
    212.59x = 293.49 × 129.72
  4. Step 4: Simplify right side
    212.59x = 38,070.06
  5. Step 5: Solve for x
    x = 38,070.06/212.59
  6. Step 6: Final answer
    x = 179.08

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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.