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Finding the Fourth Proportional to 436.39, 654.18 and 147.67

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Solution

The fourth proportional to 436.39, 654.18 and 147.67 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.39 : 654.18 = 147.67 : x
  2. Step 2: Convert to fraction form
    436.39/654.18 = 147.67/x
  3. Step 3: Cross multiply
    436.39x = 654.18 × 147.67
  4. Step 4: Simplify right side
    436.39x = 96,602.76
  5. Step 5: Solve for x
    x = 96,602.76/436.39
  6. Step 6: Final answer
    x = 221.37

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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.