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Finding the Fourth Proportional to 157.50, 236 and 111.94

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Solution

The fourth proportional to 157.50, 236 and 111.94 is: 167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 236 = 111.94 : x
  2. Step 2: Convert to fraction form
    157.50/236 = 111.94/x
  3. Step 3: Cross multiply
    157.50x = 236 × 111.94
  4. Step 4: Simplify right side
    157.50x = 26,417.84
  5. Step 5: Solve for x
    x = 26,417.84/157.50
  6. Step 6: Final answer
    x = 167.73

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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.