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Finding the Fourth Proportional to 462.42, 693.63 and 154.23

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Solution

The fourth proportional to 462.42, 693.63 and 154.23 is: 231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 693.63 = 154.23 : x
  2. Step 2: Convert to fraction form
    462.42/693.63 = 154.23/x
  3. Step 3: Cross multiply
    462.42x = 693.63 × 154.23
  4. Step 4: Simplify right side
    462.42x = 106,977.90
  5. Step 5: Solve for x
    x = 106,977.90/462.42
  6. Step 6: Final answer
    x = 231.35

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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.