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Finding the Fourth Proportional to 178.91, 268.47 and 118.16

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Solution

The fourth proportional to 178.91, 268.47 and 118.16 is: 177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.91 : 268.47 = 118.16 : x
  2. Step 2: Convert to fraction form
    178.91/268.47 = 118.16/x
  3. Step 3: Cross multiply
    178.91x = 268.47 × 118.16
  4. Step 4: Simplify right side
    178.91x = 31,721.07
  5. Step 5: Solve for x
    x = 31,721.07/178.91
  6. Step 6: Final answer
    x = 177.31

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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.