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Finding the Fourth Proportional to 259.65, 358.28 and 154.71

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Solution

The fourth proportional to 259.65, 358.28 and 154.71 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 358.28 = 154.71 : x
  2. Step 2: Convert to fraction form
    259.65/358.28 = 154.71/x
  3. Step 3: Cross multiply
    259.65x = 358.28 × 154.71
  4. Step 4: Simplify right side
    259.65x = 55,428.73
  5. Step 5: Solve for x
    x = 55,428.73/259.65
  6. Step 6: Final answer
    x = 213.47

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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.