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Finding the Fourth Proportional to 261.82, 392.64 and 105.58

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Solution

The fourth proportional to 261.82, 392.64 and 105.58 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 392.64 = 105.58 : x
  2. Step 2: Convert to fraction form
    261.82/392.64 = 105.58/x
  3. Step 3: Cross multiply
    261.82x = 392.64 × 105.58
  4. Step 4: Simplify right side
    261.82x = 41,454.93
  5. Step 5: Solve for x
    x = 41,454.93/261.82
  6. Step 6: Final answer
    x = 158.33

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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.