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Finding the Fourth Proportional to 155.33, 233.20 and 109.70

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Solution

The fourth proportional to 155.33, 233.20 and 109.70 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.33 : 233.20 = 109.70 : x
  2. Step 2: Convert to fraction form
    155.33/233.20 = 109.70/x
  3. Step 3: Cross multiply
    155.33x = 233.20 × 109.70
  4. Step 4: Simplify right side
    155.33x = 25,582.04
  5. Step 5: Solve for x
    x = 25,582.04/155.33
  6. Step 6: Final answer
    x = 164.69

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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.