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Finding the Fourth Proportional to 261.74, 392.25 and 193.16

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Solution

The fourth proportional to 261.74, 392.25 and 193.16 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 392.25 = 193.16 : x
  2. Step 2: Convert to fraction form
    261.74/392.25 = 193.16/x
  3. Step 3: Cross multiply
    261.74x = 392.25 × 193.16
  4. Step 4: Simplify right side
    261.74x = 75,767.01
  5. Step 5: Solve for x
    x = 75,767.01/261.74
  6. Step 6: Final answer
    x = 289.47

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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.