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Finding the Fourth Proportional to 157.95, 219.71 and 154.98

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Solution

The fourth proportional to 157.95, 219.71 and 154.98 is: 215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.95 : 219.71 = 154.98 : x
  2. Step 2: Convert to fraction form
    157.95/219.71 = 154.98/x
  3. Step 3: Cross multiply
    157.95x = 219.71 × 154.98
  4. Step 4: Simplify right side
    157.95x = 34,050.66
  5. Step 5: Solve for x
    x = 34,050.66/157.95
  6. Step 6: Final answer
    x = 215.58

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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.