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Finding the Fourth Proportional to 197.57, 294.93 and 156.57

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Solution

The fourth proportional to 197.57, 294.93 and 156.57 is: 233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 294.93 = 156.57 : x
  2. Step 2: Convert to fraction form
    197.57/294.93 = 156.57/x
  3. Step 3: Cross multiply
    197.57x = 294.93 × 156.57
  4. Step 4: Simplify right side
    197.57x = 46,177.19
  5. Step 5: Solve for x
    x = 46,177.19/197.57
  6. Step 6: Final answer
    x = 233.73

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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.