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Finding the Fourth Proportional to 541.90, 812.85 and 176.66

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Solution

The fourth proportional to 541.90, 812.85 and 176.66 is: 264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.90 : 812.85 = 176.66 : x
  2. Step 2: Convert to fraction form
    541.90/812.85 = 176.66/x
  3. Step 3: Cross multiply
    541.90x = 812.85 × 176.66
  4. Step 4: Simplify right side
    541.90x = 143,598.08
  5. Step 5: Solve for x
    x = 143,598.08/541.90
  6. Step 6: Final answer
    x = 264.99

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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.