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Finding the Fourth Proportional to 261.51, 392.36 and 169.00

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Solution

The fourth proportional to 261.51, 392.36 and 169.00 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.51 : 392.36 = 169.00 : x
  2. Step 2: Convert to fraction form
    261.51/392.36 = 169.00/x
  3. Step 3: Cross multiply
    261.51x = 392.36 × 169.00
  4. Step 4: Simplify right side
    261.51x = 66,310.17
  5. Step 5: Solve for x
    x = 66,310.17/261.51
  6. Step 6: Final answer
    x = 253.56

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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.