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Finding the Fourth Proportional to 288.05, 432.31 and 114.83

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Solution

The fourth proportional to 288.05, 432.31 and 114.83 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 432.31 = 114.83 : x
  2. Step 2: Convert to fraction form
    288.05/432.31 = 114.83/x
  3. Step 3: Cross multiply
    288.05x = 432.31 × 114.83
  4. Step 4: Simplify right side
    288.05x = 49,642.16
  5. Step 5: Solve for x
    x = 49,642.16/288.05
  6. Step 6: Final answer
    x = 172.34

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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.