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Finding the Fourth Proportional to 274.16, 410.61 and 175.07

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Solution

The fourth proportional to 274.16, 410.61 and 175.07 is: 262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 410.61 = 175.07 : x
  2. Step 2: Convert to fraction form
    274.16/410.61 = 175.07/x
  3. Step 3: Cross multiply
    274.16x = 410.61 × 175.07
  4. Step 4: Simplify right side
    274.16x = 71,885.49
  5. Step 5: Solve for x
    x = 71,885.49/274.16
  6. Step 6: Final answer
    x = 262.20

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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.