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Finding the Fourth Proportional to 261.39, 392.09 and 78.80

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Solution

The fourth proportional to 261.39, 392.09 and 78.80 is: 118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 392.09 = 78.80 : x
  2. Step 2: Convert to fraction form
    261.39/392.09 = 78.80/x
  3. Step 3: Cross multiply
    261.39x = 392.09 × 78.80
  4. Step 4: Simplify right side
    261.39x = 30,894.34
  5. Step 5: Solve for x
    x = 30,894.34/261.39
  6. Step 6: Final answer
    x = 118.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.