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Finding the Fourth Proportional to 259.32, 357.92 and 148.83

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Solution

The fourth proportional to 259.32, 357.92 and 148.83 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.32 : 357.92 = 148.83 : x
  2. Step 2: Convert to fraction form
    259.32/357.92 = 148.83/x
  3. Step 3: Cross multiply
    259.32x = 357.92 × 148.83
  4. Step 4: Simplify right side
    259.32x = 53,269.23
  5. Step 5: Solve for x
    x = 53,269.23/259.32
  6. Step 6: Final answer
    x = 205.42

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Why These Related Problems?

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