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Finding the Fourth Proportional to 157.98, 237.20 and 97.23

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Solution

The fourth proportional to 157.98, 237.20 and 97.23 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 237.20 = 97.23 : x
  2. Step 2: Convert to fraction form
    157.98/237.20 = 97.23/x
  3. Step 3: Cross multiply
    157.98x = 237.20 × 97.23
  4. Step 4: Simplify right side
    157.98x = 23,062.47
  5. Step 5: Solve for x
    x = 23,062.47/157.98
  6. Step 6: Final answer
    x = 145.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.