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Finding the Fourth Proportional to 261.64, 360.74 and 174.16

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Solution

The fourth proportional to 261.64, 360.74 and 174.16 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 360.74 = 174.16 : x
  2. Step 2: Convert to fraction form
    261.64/360.74 = 174.16/x
  3. Step 3: Cross multiply
    261.64x = 360.74 × 174.16
  4. Step 4: Simplify right side
    261.64x = 62,826.48
  5. Step 5: Solve for x
    x = 62,826.48/261.64
  6. Step 6: Final answer
    x = 240.13

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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.