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Finding the Fourth Proportional to 288.08, 432.38 and 195.31

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Solution

The fourth proportional to 288.08, 432.38 and 195.31 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 432.38 = 195.31 : x
  2. Step 2: Convert to fraction form
    288.08/432.38 = 195.31/x
  3. Step 3: Cross multiply
    288.08x = 432.38 × 195.31
  4. Step 4: Simplify right side
    288.08x = 84,448.99
  5. Step 5: Solve for x
    x = 84,448.99/288.08
  6. Step 6: Final answer
    x = 293.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.