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Finding the Fourth Proportional to 152.32, 209.84 and 119.52

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Solution

The fourth proportional to 152.32, 209.84 and 119.52 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 209.84 = 119.52 : x
  2. Step 2: Convert to fraction form
    152.32/209.84 = 119.52/x
  3. Step 3: Cross multiply
    152.32x = 209.84 × 119.52
  4. Step 4: Simplify right side
    152.32x = 25,080.08
  5. Step 5: Solve for x
    x = 25,080.08/152.32
  6. Step 6: Final answer
    x = 164.65

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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.