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Finding the Fourth Proportional to 257.16, 383.77 and 229.82

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Solution

The fourth proportional to 257.16, 383.77 and 229.82 is: 342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 383.77 = 229.82 : x
  2. Step 2: Convert to fraction form
    257.16/383.77 = 229.82/x
  3. Step 3: Cross multiply
    257.16x = 383.77 × 229.82
  4. Step 4: Simplify right side
    257.16x = 88,196.87
  5. Step 5: Solve for x
    x = 88,196.87/257.16
  6. Step 6: Final answer
    x = 342.96

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Why These Related Problems?

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