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Finding the Fourth Proportional to 288.13, 397.64 and 177.65

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Solution

The fourth proportional to 288.13, 397.64 and 177.65 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.13 : 397.64 = 177.65 : x
  2. Step 2: Convert to fraction form
    288.13/397.64 = 177.65/x
  3. Step 3: Cross multiply
    288.13x = 397.64 × 177.65
  4. Step 4: Simplify right side
    288.13x = 70,640.75
  5. Step 5: Solve for x
    x = 70,640.75/288.13
  6. Step 6: Final answer
    x = 245.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.