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Finding the Fourth Proportional to 288.02, 397.45 and 160.25

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Solution

The fourth proportional to 288.02, 397.45 and 160.25 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 397.45 = 160.25 : x
  2. Step 2: Convert to fraction form
    288.02/397.45 = 160.25/x
  3. Step 3: Cross multiply
    288.02x = 397.45 × 160.25
  4. Step 4: Simplify right side
    288.02x = 63,690.56
  5. Step 5: Solve for x
    x = 63,690.56/288.02
  6. Step 6: Final answer
    x = 221.14

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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.