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Finding the Fourth Proportional to 288.22, 397.50 and 177.64

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Solution

The fourth proportional to 288.22, 397.50 and 177.64 is: 244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 397.50 = 177.64 : x
  2. Step 2: Convert to fraction form
    288.22/397.50 = 177.64/x
  3. Step 3: Cross multiply
    288.22x = 397.50 × 177.64
  4. Step 4: Simplify right side
    288.22x = 70,611.90
  5. Step 5: Solve for x
    x = 70,611.90/288.22
  6. Step 6: Final answer
    x = 244.99

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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.