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Finding the Fourth Proportional to 261.40, 360.98 and 174.13

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Solution

The fourth proportional to 261.40, 360.98 and 174.13 is: 240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.98 = 174.13 : x
  2. Step 2: Convert to fraction form
    261.40/360.98 = 174.13/x
  3. Step 3: Cross multiply
    261.40x = 360.98 × 174.13
  4. Step 4: Simplify right side
    261.40x = 62,857.45
  5. Step 5: Solve for x
    x = 62,857.45/261.40
  6. Step 6: Final answer
    x = 240.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.