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Finding the Fourth Proportional to 202.66, 279.71 and 132.69

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Solution

The fourth proportional to 202.66, 279.71 and 132.69 is: 183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 279.71 = 132.69 : x
  2. Step 2: Convert to fraction form
    202.66/279.71 = 132.69/x
  3. Step 3: Cross multiply
    202.66x = 279.71 × 132.69
  4. Step 4: Simplify right side
    202.66x = 37,116.42
  5. Step 5: Solve for x
    x = 37,116.42/202.66
  6. Step 6: Final answer
    x = 183.15

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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.