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Finding the Fourth Proportional to 250.14, 345.28 and 176.50

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Solution

The fourth proportional to 250.14, 345.28 and 176.50 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 345.28 = 176.50 : x
  2. Step 2: Convert to fraction form
    250.14/345.28 = 176.50/x
  3. Step 3: Cross multiply
    250.14x = 345.28 × 176.50
  4. Step 4: Simplify right side
    250.14x = 60,940.19
  5. Step 5: Solve for x
    x = 60,940.19/250.14
  6. Step 6: Final answer
    x = 243.62

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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.