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Finding the Fourth Proportional to 155.88, 232.67 and 143.69

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Solution

The fourth proportional to 155.88, 232.67 and 143.69 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 232.67 = 143.69 : x
  2. Step 2: Convert to fraction form
    155.88/232.67 = 143.69/x
  3. Step 3: Cross multiply
    155.88x = 232.67 × 143.69
  4. Step 4: Simplify right side
    155.88x = 33,430.47
  5. Step 5: Solve for x
    x = 33,430.47/155.88
  6. Step 6: Final answer
    x = 214.46

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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.