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Finding the Fourth Proportional to 259.97, 390.02 and 97.67

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Solution

The fourth proportional to 259.97, 390.02 and 97.67 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 390.02 = 97.67 : x
  2. Step 2: Convert to fraction form
    259.97/390.02 = 97.67/x
  3. Step 3: Cross multiply
    259.97x = 390.02 × 97.67
  4. Step 4: Simplify right side
    259.97x = 38,090.81
  5. Step 5: Solve for x
    x = 38,090.81/259.97
  6. Step 6: Final answer
    x = 146.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.