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Finding the Fourth Proportional to 178.56, 266.52 and 160.20

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Solution

The fourth proportional to 178.56, 266.52 and 160.20 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 266.52 = 160.20 : x
  2. Step 2: Convert to fraction form
    178.56/266.52 = 160.20/x
  3. Step 3: Cross multiply
    178.56x = 266.52 × 160.20
  4. Step 4: Simplify right side
    178.56x = 42,696.50
  5. Step 5: Solve for x
    x = 42,696.50/178.56
  6. Step 6: Final answer
    x = 239.12

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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.