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Finding the Fourth Proportional to 230.04, 344.70 and 189

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Solution

The fourth proportional to 230.04, 344.70 and 189 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 344.70 = 189 : x
  2. Step 2: Convert to fraction form
    230.04/344.70 = 189/x
  3. Step 3: Cross multiply
    230.04x = 344.70 × 189
  4. Step 4: Simplify right side
    230.04x = 65,148.30
  5. Step 5: Solve for x
    x = 65,148.30/230.04
  6. Step 6: Final answer
    x = 283.20

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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.