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Finding the Fourth Proportional to 209.17, 288.66 and 130.53

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Solution

The fourth proportional to 209.17, 288.66 and 130.53 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 288.66 = 130.53 : x
  2. Step 2: Convert to fraction form
    209.17/288.66 = 130.53/x
  3. Step 3: Cross multiply
    209.17x = 288.66 × 130.53
  4. Step 4: Simplify right side
    209.17x = 37,677.74
  5. Step 5: Solve for x
    x = 37,677.74/209.17
  6. Step 6: Final answer
    x = 180.13

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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.