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Finding the Fourth Proportional to 313.50, 432.51 and 189.06

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Solution

The fourth proportional to 313.50, 432.51 and 189.06 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 432.51 = 189.06 : x
  2. Step 2: Convert to fraction form
    313.50/432.51 = 189.06/x
  3. Step 3: Cross multiply
    313.50x = 432.51 × 189.06
  4. Step 4: Simplify right side
    313.50x = 81,770.34
  5. Step 5: Solve for x
    x = 81,770.34/313.50
  6. Step 6: Final answer
    x = 260.83

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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.