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Finding the Fourth Proportional to 542.78, 814 and 177.51

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Solution

The fourth proportional to 542.78, 814 and 177.51 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 814 = 177.51 : x
  2. Step 2: Convert to fraction form
    542.78/814 = 177.51/x
  3. Step 3: Cross multiply
    542.78x = 814 × 177.51
  4. Step 4: Simplify right side
    542.78x = 144,493.14
  5. Step 5: Solve for x
    x = 144,493.14/542.78
  6. Step 6: Final answer
    x = 266.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.