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Finding the Fourth Proportional to 362.01, 542.90 and 176.81

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Solution

The fourth proportional to 362.01, 542.90 and 176.81 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.01 : 542.90 = 176.81 : x
  2. Step 2: Convert to fraction form
    362.01/542.90 = 176.81/x
  3. Step 3: Cross multiply
    362.01x = 542.90 × 176.81
  4. Step 4: Simplify right side
    362.01x = 95,990.15
  5. Step 5: Solve for x
    x = 95,990.15/362.01
  6. Step 6: Final answer
    x = 265.16

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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.