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Finding the Fourth Proportional to 261.78, 389.57 and 252.06

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Solution

The fourth proportional to 261.78, 389.57 and 252.06 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 389.57 = 252.06 : x
  2. Step 2: Convert to fraction form
    261.78/389.57 = 252.06/x
  3. Step 3: Cross multiply
    261.78x = 389.57 × 252.06
  4. Step 4: Simplify right side
    261.78x = 98,195.01
  5. Step 5: Solve for x
    x = 98,195.01/261.78
  6. Step 6: Final answer
    x = 375.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.