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Finding the Fourth Proportional to 261.82, 392.78 and 117.56

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Solution

The fourth proportional to 261.82, 392.78 and 117.56 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 392.78 = 117.56 : x
  2. Step 2: Convert to fraction form
    261.82/392.78 = 117.56/x
  3. Step 3: Cross multiply
    261.82x = 392.78 × 117.56
  4. Step 4: Simplify right side
    261.82x = 46,175.22
  5. Step 5: Solve for x
    x = 46,175.22/261.82
  6. Step 6: Final answer
    x = 176.36

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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.