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Finding the Fourth Proportional to 259.67, 358.35 and 143.24

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Solution

The fourth proportional to 259.67, 358.35 and 143.24 is: 197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.67 : 358.35 = 143.24 : x
  2. Step 2: Convert to fraction form
    259.67/358.35 = 143.24/x
  3. Step 3: Cross multiply
    259.67x = 358.35 × 143.24
  4. Step 4: Simplify right side
    259.67x = 51,328.71
  5. Step 5: Solve for x
    x = 51,328.71/259.67
  6. Step 6: Final answer
    x = 197.67

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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.