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Finding the Fourth Proportional to 157.98, 235.66 and 146.84

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Solution

The fourth proportional to 157.98, 235.66 and 146.84 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 235.66 = 146.84 : x
  2. Step 2: Convert to fraction form
    157.98/235.66 = 146.84/x
  3. Step 3: Cross multiply
    157.98x = 235.66 × 146.84
  4. Step 4: Simplify right side
    157.98x = 34,604.54
  5. Step 5: Solve for x
    x = 34,604.54/157.98
  6. Step 6: Final answer
    x = 219.04

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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.