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Finding the Fourth Proportional to 259.68, 358.33 and 147.65

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Solution

The fourth proportional to 259.68, 358.33 and 147.65 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.68 : 358.33 = 147.65 : x
  2. Step 2: Convert to fraction form
    259.68/358.33 = 147.65/x
  3. Step 3: Cross multiply
    259.68x = 358.33 × 147.65
  4. Step 4: Simplify right side
    259.68x = 52,906.69
  5. Step 5: Solve for x
    x = 52,906.69/259.68
  6. Step 6: Final answer
    x = 203.74

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