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Finding the Fourth Proportional to 152.32, 209.90 and 119.66

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Solution

The fourth proportional to 152.32, 209.90 and 119.66 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 209.90 = 119.66 : x
  2. Step 2: Convert to fraction form
    152.32/209.90 = 119.66/x
  3. Step 3: Cross multiply
    152.32x = 209.90 × 119.66
  4. Step 4: Simplify right side
    152.32x = 25,116.63
  5. Step 5: Solve for x
    x = 25,116.63/152.32
  6. Step 6: Final answer
    x = 164.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.