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Finding the Fourth Proportional to 178.88, 266.29 and 177.80

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Solution

The fourth proportional to 178.88, 266.29 and 177.80 is: 264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 266.29 = 177.80 : x
  2. Step 2: Convert to fraction form
    178.88/266.29 = 177.80/x
  3. Step 3: Cross multiply
    178.88x = 266.29 × 177.80
  4. Step 4: Simplify right side
    178.88x = 47,346.36
  5. Step 5: Solve for x
    x = 47,346.36/178.88
  6. Step 6: Final answer
    x = 264.68

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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.