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Finding the Fourth Proportional to 633.50, 950.25 and 177.50

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Solution

The fourth proportional to 633.50, 950.25 and 177.50 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.50 : 950.25 = 177.50 : x
  2. Step 2: Convert to fraction form
    633.50/950.25 = 177.50/x
  3. Step 3: Cross multiply
    633.50x = 950.25 × 177.50
  4. Step 4: Simplify right side
    633.50x = 168,669.38
  5. Step 5: Solve for x
    x = 168,669.38/633.50
  6. Step 6: Final answer
    x = 266.25

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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.