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Finding the Fourth Proportional to 288.19, 397.74 and 170.22

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Solution

The fourth proportional to 288.19, 397.74 and 170.22 is: 234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.19 : 397.74 = 170.22 : x
  2. Step 2: Convert to fraction form
    288.19/397.74 = 170.22/x
  3. Step 3: Cross multiply
    288.19x = 397.74 × 170.22
  4. Step 4: Simplify right side
    288.19x = 67,703.30
  5. Step 5: Solve for x
    x = 67,703.30/288.19
  6. Step 6: Final answer
    x = 234.93

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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.