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Finding the Fourth Proportional to 261.60, 392.82 and 207.94

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Solution

The fourth proportional to 261.60, 392.82 and 207.94 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 392.82 = 207.94 : x
  2. Step 2: Convert to fraction form
    261.60/392.82 = 207.94/x
  3. Step 3: Cross multiply
    261.60x = 392.82 × 207.94
  4. Step 4: Simplify right side
    261.60x = 81,682.99
  5. Step 5: Solve for x
    x = 81,682.99/261.60
  6. Step 6: Final answer
    x = 312.24

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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.