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Finding the Fourth Proportional to 261.40, 392.08 and 88.05

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Solution

The fourth proportional to 261.40, 392.08 and 88.05 is: 132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 392.08 = 88.05 : x
  2. Step 2: Convert to fraction form
    261.40/392.08 = 88.05/x
  3. Step 3: Cross multiply
    261.40x = 392.08 × 88.05
  4. Step 4: Simplify right side
    261.40x = 34,522.64
  5. Step 5: Solve for x
    x = 34,522.64/261.40
  6. Step 6: Final answer
    x = 132.07

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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.