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Finding the Fourth Proportional to 652.21, 978.03 and 189.88

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Solution

The fourth proportional to 652.21, 978.03 and 189.88 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.21 : 978.03 = 189.88 : x
  2. Step 2: Convert to fraction form
    652.21/978.03 = 189.88/x
  3. Step 3: Cross multiply
    652.21x = 978.03 × 189.88
  4. Step 4: Simplify right side
    652.21x = 185,708.34
  5. Step 5: Solve for x
    x = 185,708.34/652.21
  6. Step 6: Final answer
    x = 284.74

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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.