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Finding the Fourth Proportional to 318, 438.70 and 186.93

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Solution

The fourth proportional to 318, 438.70 and 186.93 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 438.70 = 186.93 : x
  2. Step 2: Convert to fraction form
    318/438.70 = 186.93/x
  3. Step 3: Cross multiply
    318x = 438.70 × 186.93
  4. Step 4: Simplify right side
    318x = 82,006.19
  5. Step 5: Solve for x
    x = 82,006.19/318
  6. Step 6: Final answer
    x = 257.88

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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.