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Finding the Fourth Proportional to 542.90, 814.35 and 178.00

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Solution

The fourth proportional to 542.90, 814.35 and 178.00 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.90 : 814.35 = 178.00 : x
  2. Step 2: Convert to fraction form
    542.90/814.35 = 178.00/x
  3. Step 3: Cross multiply
    542.90x = 814.35 × 178.00
  4. Step 4: Simplify right side
    542.90x = 144,952.93
  5. Step 5: Solve for x
    x = 144,952.93/542.90
  6. Step 6: Final answer
    x = 267.00

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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.