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Finding the Fourth Proportional to 261.90, 393.45 and 251.70

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Solution

The fourth proportional to 261.90, 393.45 and 251.70 is: 378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.90 : 393.45 = 251.70 : x
  2. Step 2: Convert to fraction form
    261.90/393.45 = 251.70/x
  3. Step 3: Cross multiply
    261.90x = 393.45 × 251.70
  4. Step 4: Simplify right side
    261.90x = 99,031.37
  5. Step 5: Solve for x
    x = 99,031.37/261.90
  6. Step 6: Final answer
    x = 378.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.