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Finding the Fourth Proportional to 261.64, 392.05 and 165.25

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Solution

The fourth proportional to 261.64, 392.05 and 165.25 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 392.05 = 165.25 : x
  2. Step 2: Convert to fraction form
    261.64/392.05 = 165.25/x
  3. Step 3: Cross multiply
    261.64x = 392.05 × 165.25
  4. Step 4: Simplify right side
    261.64x = 64,786.26
  5. Step 5: Solve for x
    x = 64,786.26/261.64
  6. Step 6: Final answer
    x = 247.62

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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.