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Finding the Fourth Proportional to 178.29, 266.13 and 160.08

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Solution

The fourth proportional to 178.29, 266.13 and 160.08 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.29 : 266.13 = 160.08 : x
  2. Step 2: Convert to fraction form
    178.29/266.13 = 160.08/x
  3. Step 3: Cross multiply
    178.29x = 266.13 × 160.08
  4. Step 4: Simplify right side
    178.29x = 42,602.09
  5. Step 5: Solve for x
    x = 42,602.09/178.29
  6. Step 6: Final answer
    x = 238.95

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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.