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Finding the Fourth Proportional to 178.65, 266.37 and 178.30

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Solution

The fourth proportional to 178.65, 266.37 and 178.30 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 266.37 = 178.30 : x
  2. Step 2: Convert to fraction form
    178.65/266.37 = 178.30/x
  3. Step 3: Cross multiply
    178.65x = 266.37 × 178.30
  4. Step 4: Simplify right side
    178.65x = 47,493.77
  5. Step 5: Solve for x
    x = 47,493.77/178.65
  6. Step 6: Final answer
    x = 265.85

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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.