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Finding the Fourth Proportional to 313.46, 432.54 and 189.10

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Solution

The fourth proportional to 313.46, 432.54 and 189.10 is: 260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.46 : 432.54 = 189.10 : x
  2. Step 2: Convert to fraction form
    313.46/432.54 = 189.10/x
  3. Step 3: Cross multiply
    313.46x = 432.54 × 189.10
  4. Step 4: Simplify right side
    313.46x = 81,793.85
  5. Step 5: Solve for x
    x = 81,793.85/313.46
  6. Step 6: Final answer
    x = 260.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.