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Finding the Fourth Proportional to 257.12, 355.04 and 183.52

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Solution

The fourth proportional to 257.12, 355.04 and 183.52 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 355.04 = 183.52 : x
  2. Step 2: Convert to fraction form
    257.12/355.04 = 183.52/x
  3. Step 3: Cross multiply
    257.12x = 355.04 × 183.52
  4. Step 4: Simplify right side
    257.12x = 65,156.94
  5. Step 5: Solve for x
    x = 65,156.94/257.12
  6. Step 6: Final answer
    x = 253.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.