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Finding the Fourth Proportional to 257.53, 384.29 and 231.58

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Solution

The fourth proportional to 257.53, 384.29 and 231.58 is: 345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 384.29 = 231.58 : x
  2. Step 2: Convert to fraction form
    257.53/384.29 = 231.58/x
  3. Step 3: Cross multiply
    257.53x = 384.29 × 231.58
  4. Step 4: Simplify right side
    257.53x = 88,993.88
  5. Step 5: Solve for x
    x = 88,993.88/257.53
  6. Step 6: Final answer
    x = 345.57

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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.