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Finding the Fourth Proportional to 318, 477.06 and 123

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Solution

The fourth proportional to 318, 477.06 and 123 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318 : 477.06 = 123 : x
  2. Step 2: Convert to fraction form
    318/477.06 = 123/x
  3. Step 3: Cross multiply
    318x = 477.06 × 123
  4. Step 4: Simplify right side
    318x = 58,678.38
  5. Step 5: Solve for x
    x = 58,678.38/318
  6. Step 6: Final answer
    x = 184.52

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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.