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Finding the Fourth Proportional to 288.16, 397.86 and 177.78

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Solution

The fourth proportional to 288.16, 397.86 and 177.78 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 397.86 = 177.78 : x
  2. Step 2: Convert to fraction form
    288.16/397.86 = 177.78/x
  3. Step 3: Cross multiply
    288.16x = 397.86 × 177.78
  4. Step 4: Simplify right side
    288.16x = 70,731.55
  5. Step 5: Solve for x
    x = 70,731.55/288.16
  6. Step 6: Final answer
    x = 245.46

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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.