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Finding the Fourth Proportional to 273.64, 410.72 and 177.52

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Solution

The fourth proportional to 273.64, 410.72 and 177.52 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 410.72 = 177.52 : x
  2. Step 2: Convert to fraction form
    273.64/410.72 = 177.52/x
  3. Step 3: Cross multiply
    273.64x = 410.72 × 177.52
  4. Step 4: Simplify right side
    273.64x = 72,911.01
  5. Step 5: Solve for x
    x = 72,911.01/273.64
  6. Step 6: Final answer
    x = 266.45

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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.