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Finding the Fourth Proportional to 315.50, 435.42 and 177.50

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Solution

The fourth proportional to 315.50, 435.42 and 177.50 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 435.42 = 177.50 : x
  2. Step 2: Convert to fraction form
    315.50/435.42 = 177.50/x
  3. Step 3: Cross multiply
    315.50x = 435.42 × 177.50
  4. Step 4: Simplify right side
    315.50x = 77,287.05
  5. Step 5: Solve for x
    x = 77,287.05/315.50
  6. Step 6: Final answer
    x = 244.97

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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.