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Finding the Fourth Proportional to 541.32, 812.09 and 176.10

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Solution

The fourth proportional to 541.32, 812.09 and 176.10 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 812.09 = 176.10 : x
  2. Step 2: Convert to fraction form
    541.32/812.09 = 176.10/x
  3. Step 3: Cross multiply
    541.32x = 812.09 × 176.10
  4. Step 4: Simplify right side
    541.32x = 143,009.05
  5. Step 5: Solve for x
    x = 143,009.05/541.32
  6. Step 6: Final answer
    x = 264.19

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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.