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Finding the Fourth Proportional to 652.63, 978.94 and 165.69

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Solution

The fourth proportional to 652.63, 978.94 and 165.69 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.63 : 978.94 = 165.69 : x
  2. Step 2: Convert to fraction form
    652.63/978.94 = 165.69/x
  3. Step 3: Cross multiply
    652.63x = 978.94 × 165.69
  4. Step 4: Simplify right side
    652.63x = 162,195.67
  5. Step 5: Solve for x
    x = 162,195.67/652.63
  6. Step 6: Final answer
    x = 248.53

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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.