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Finding the Fourth Proportional to 288.18, 397.53 and 177.58

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Solution

The fourth proportional to 288.18, 397.53 and 177.58 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 397.53 = 177.58 : x
  2. Step 2: Convert to fraction form
    288.18/397.53 = 177.58/x
  3. Step 3: Cross multiply
    288.18x = 397.53 × 177.58
  4. Step 4: Simplify right side
    288.18x = 70,593.81
  5. Step 5: Solve for x
    x = 70,593.81/288.18
  6. Step 6: Final answer
    x = 244.96

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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.