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Finding the Fourth Proportional to 178.48, 266.12 and 178.24

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Solution

The fourth proportional to 178.48, 266.12 and 178.24 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 266.12 = 178.24 : x
  2. Step 2: Convert to fraction form
    178.48/266.12 = 178.24/x
  3. Step 3: Cross multiply
    178.48x = 266.12 × 178.24
  4. Step 4: Simplify right side
    178.48x = 47,433.23
  5. Step 5: Solve for x
    x = 47,433.23/178.48
  6. Step 6: Final answer
    x = 265.76

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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.