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Finding the Fourth Proportional to 372.32, 558.64 and 189.84

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Solution

The fourth proportional to 372.32, 558.64 and 189.84 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.32 : 558.64 = 189.84 : x
  2. Step 2: Convert to fraction form
    372.32/558.64 = 189.84/x
  3. Step 3: Cross multiply
    372.32x = 558.64 × 189.84
  4. Step 4: Simplify right side
    372.32x = 106,052.22
  5. Step 5: Solve for x
    x = 106,052.22/372.32
  6. Step 6: Final answer
    x = 284.84

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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.