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Finding the Fourth Proportional to 259.18, 357.70 and 154.30

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Solution

The fourth proportional to 259.18, 357.70 and 154.30 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.18 : 357.70 = 154.30 : x
  2. Step 2: Convert to fraction form
    259.18/357.70 = 154.30/x
  3. Step 3: Cross multiply
    259.18x = 357.70 × 154.30
  4. Step 4: Simplify right side
    259.18x = 55,191.78
  5. Step 5: Solve for x
    x = 55,191.78/259.18
  6. Step 6: Final answer
    x = 212.95

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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.