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Finding the Fourth Proportional to 159.30, 238.50 and 118.08

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Solution

The fourth proportional to 159.30, 238.50 and 118.08 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 238.50 = 118.08 : x
  2. Step 2: Convert to fraction form
    159.30/238.50 = 118.08/x
  3. Step 3: Cross multiply
    159.30x = 238.50 × 118.08
  4. Step 4: Simplify right side
    159.30x = 28,162.08
  5. Step 5: Solve for x
    x = 28,162.08/159.30
  6. Step 6: Final answer
    x = 176.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.