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Finding the Fourth Proportional to 157.29, 218.00 and 154.95

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Solution

The fourth proportional to 157.29, 218.00 and 154.95 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 218.00 = 154.95 : x
  2. Step 2: Convert to fraction form
    157.29/218.00 = 154.95/x
  3. Step 3: Cross multiply
    157.29x = 218.00 × 154.95
  4. Step 4: Simplify right side
    157.29x = 33,778.33
  5. Step 5: Solve for x
    x = 33,778.33/157.29
  6. Step 6: Final answer
    x = 214.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.