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Finding the Fourth Proportional to 154.23, 211.18 and 147.28

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Solution

The fourth proportional to 154.23, 211.18 and 147.28 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.23 : 211.18 = 147.28 : x
  2. Step 2: Convert to fraction form
    154.23/211.18 = 147.28/x
  3. Step 3: Cross multiply
    154.23x = 211.18 × 147.28
  4. Step 4: Simplify right side
    154.23x = 31,103.08
  5. Step 5: Solve for x
    x = 31,103.08/154.23
  6. Step 6: Final answer
    x = 201.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.