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Finding the Fourth Proportional to 261.56, 358.61 and 257.32

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Solution

The fourth proportional to 261.56, 358.61 and 257.32 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 358.61 = 257.32 : x
  2. Step 2: Convert to fraction form
    261.56/358.61 = 257.32/x
  3. Step 3: Cross multiply
    261.56x = 358.61 × 257.32
  4. Step 4: Simplify right side
    261.56x = 92,277.53
  5. Step 5: Solve for x
    x = 92,277.53/261.56
  6. Step 6: Final answer
    x = 352.80

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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.