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Finding the Fourth Proportional to 261.78, 358.86 and 257.12

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Solution

The fourth proportional to 261.78, 358.86 and 257.12 is: 352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 358.86 = 257.12 : x
  2. Step 2: Convert to fraction form
    261.78/358.86 = 257.12/x
  3. Step 3: Cross multiply
    261.78x = 358.86 × 257.12
  4. Step 4: Simplify right side
    261.78x = 92,270.45
  5. Step 5: Solve for x
    x = 92,270.45/261.78
  6. Step 6: Final answer
    x = 352.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.