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Finding the Fourth Proportional to 149.91, 206.98 and 110.57

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Solution

The fourth proportional to 149.91, 206.98 and 110.57 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.91 : 206.98 = 110.57 : x
  2. Step 2: Convert to fraction form
    149.91/206.98 = 110.57/x
  3. Step 3: Cross multiply
    149.91x = 206.98 × 110.57
  4. Step 4: Simplify right side
    149.91x = 22,886.02
  5. Step 5: Solve for x
    x = 22,886.02/149.91
  6. Step 6: Final answer
    x = 152.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.