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Finding the Fourth Proportional to 257.12, 383.80 and 235.52

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Solution

The fourth proportional to 257.12, 383.80 and 235.52 is: 351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 383.80 = 235.52 : x
  2. Step 2: Convert to fraction form
    257.12/383.80 = 235.52/x
  3. Step 3: Cross multiply
    257.12x = 383.80 × 235.52
  4. Step 4: Simplify right side
    257.12x = 90,392.58
  5. Step 5: Solve for x
    x = 90,392.58/257.12
  6. Step 6: Final answer
    x = 351.56

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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.