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Finding the Fourth Proportional to 210.48, 315.76 and 123.96

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Solution

The fourth proportional to 210.48, 315.76 and 123.96 is: 185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.48 : 315.76 = 123.96 : x
  2. Step 2: Convert to fraction form
    210.48/315.76 = 123.96/x
  3. Step 3: Cross multiply
    210.48x = 315.76 × 123.96
  4. Step 4: Simplify right side
    210.48x = 39,141.61
  5. Step 5: Solve for x
    x = 39,141.61/210.48
  6. Step 6: Final answer
    x = 185.96

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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.