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Finding the Fourth Proportional to 288.10, 397.64 and 177.66

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Solution

The fourth proportional to 288.10, 397.64 and 177.66 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.64 = 177.66 : x
  2. Step 2: Convert to fraction form
    288.10/397.64 = 177.66/x
  3. Step 3: Cross multiply
    288.10x = 397.64 × 177.66
  4. Step 4: Simplify right side
    288.10x = 70,644.72
  5. Step 5: Solve for x
    x = 70,644.72/288.10
  6. Step 6: Final answer
    x = 245.21

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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.