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Finding the Fourth Proportional to 261.88, 393 and 117.61

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Solution

The fourth proportional to 261.88, 393 and 117.61 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 393 = 117.61 : x
  2. Step 2: Convert to fraction form
    261.88/393 = 117.61/x
  3. Step 3: Cross multiply
    261.88x = 393 × 117.61
  4. Step 4: Simplify right side
    261.88x = 46,219.75
  5. Step 5: Solve for x
    x = 46,219.75/261.88
  6. Step 6: Final answer
    x = 176.49

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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.