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Finding the Fourth Proportional to 652.09, 978.13 and 165.14

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Solution

The fourth proportional to 652.09, 978.13 and 165.14 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.09 : 978.13 = 165.14 : x
  2. Step 2: Convert to fraction form
    652.09/978.13 = 165.14/x
  3. Step 3: Cross multiply
    652.09x = 978.13 × 165.14
  4. Step 4: Simplify right side
    652.09x = 161,527.84
  5. Step 5: Solve for x
    x = 161,527.84/652.09
  6. Step 6: Final answer
    x = 247.71

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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.