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Finding the Fourth Proportional to 542.16, 813.37 and 176.95

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Solution

The fourth proportional to 542.16, 813.37 and 176.95 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.37 = 176.95 : x
  2. Step 2: Convert to fraction form
    542.16/813.37 = 176.95/x
  3. Step 3: Cross multiply
    542.16x = 813.37 × 176.95
  4. Step 4: Simplify right side
    542.16x = 143,923.35
  5. Step 5: Solve for x
    x = 143,923.35/542.16
  6. Step 6: Final answer
    x = 265.46

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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.