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Finding the Fourth Proportional to 541.46, 812.25 and 176.15

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Solution

The fourth proportional to 541.46, 812.25 and 176.15 is: 264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 812.25 = 176.15 : x
  2. Step 2: Convert to fraction form
    541.46/812.25 = 176.15/x
  3. Step 3: Cross multiply
    541.46x = 812.25 × 176.15
  4. Step 4: Simplify right side
    541.46x = 143,073.78
  5. Step 5: Solve for x
    x = 143,073.78/541.46
  6. Step 6: Final answer
    x = 264.24

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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.