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Finding the Fourth Proportional to 652.01, 978 and 165.06

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Solution

The fourth proportional to 652.01, 978 and 165.06 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.01 : 978 = 165.06 : x
  2. Step 2: Convert to fraction form
    652.01/978 = 165.06/x
  3. Step 3: Cross multiply
    652.01x = 978 × 165.06
  4. Step 4: Simplify right side
    652.01x = 161,428.68
  5. Step 5: Solve for x
    x = 161,428.68/652.01
  6. Step 6: Final answer
    x = 247.59

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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.