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Finding the Fourth Proportional to 178.03, 265.79 and 160.75

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Solution

The fourth proportional to 178.03, 265.79 and 160.75 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 265.79 = 160.75 : x
  2. Step 2: Convert to fraction form
    178.03/265.79 = 160.75/x
  3. Step 3: Cross multiply
    178.03x = 265.79 × 160.75
  4. Step 4: Simplify right side
    178.03x = 42,725.74
  5. Step 5: Solve for x
    x = 42,725.74/178.03
  6. Step 6: Final answer
    x = 239.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.