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Finding the Fourth Proportional to 261.44, 392.05 and 107.26

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Solution

The fourth proportional to 261.44, 392.05 and 107.26 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 392.05 = 107.26 : x
  2. Step 2: Convert to fraction form
    261.44/392.05 = 107.26/x
  3. Step 3: Cross multiply
    261.44x = 392.05 × 107.26
  4. Step 4: Simplify right side
    261.44x = 42,051.28
  5. Step 5: Solve for x
    x = 42,051.28/261.44
  6. Step 6: Final answer
    x = 160.84

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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.