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Finding the Fourth Proportional to 155.96, 232.61 and 153.23

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Solution

The fourth proportional to 155.96, 232.61 and 153.23 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 232.61 = 153.23 : x
  2. Step 2: Convert to fraction form
    155.96/232.61 = 153.23/x
  3. Step 3: Cross multiply
    155.96x = 232.61 × 153.23
  4. Step 4: Simplify right side
    155.96x = 35,642.19
  5. Step 5: Solve for x
    x = 35,642.19/155.96
  6. Step 6: Final answer
    x = 228.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.