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Finding the Fourth Proportional to 257.53, 386.07 and 111.19

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Solution

The fourth proportional to 257.53, 386.07 and 111.19 is: 166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 386.07 = 111.19 : x
  2. Step 2: Convert to fraction form
    257.53/386.07 = 111.19/x
  3. Step 3: Cross multiply
    257.53x = 386.07 × 111.19
  4. Step 4: Simplify right side
    257.53x = 42,927.67
  5. Step 5: Solve for x
    x = 42,927.67/257.53
  6. Step 6: Final answer
    x = 166.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.