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Finding the Fourth Proportional to 169.47, 233.28 and 148.65

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Solution

The fourth proportional to 169.47, 233.28 and 148.65 is: 204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 233.28 = 148.65 : x
  2. Step 2: Convert to fraction form
    169.47/233.28 = 148.65/x
  3. Step 3: Cross multiply
    169.47x = 233.28 × 148.65
  4. Step 4: Simplify right side
    169.47x = 34,677.07
  5. Step 5: Solve for x
    x = 34,677.07/169.47
  6. Step 6: Final answer
    x = 204.62

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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.