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Finding the Fourth Proportional to 152.84, 229.26 and 109.49

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Solution

The fourth proportional to 152.84, 229.26 and 109.49 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.84 : 229.26 = 109.49 : x
  2. Step 2: Convert to fraction form
    152.84/229.26 = 109.49/x
  3. Step 3: Cross multiply
    152.84x = 229.26 × 109.49
  4. Step 4: Simplify right side
    152.84x = 25,101.68
  5. Step 5: Solve for x
    x = 25,101.68/152.84
  6. Step 6: Final answer
    x = 164.24

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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.