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Finding the Fourth Proportional to 462.17, 693.46 and 154.07

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Solution

The fourth proportional to 462.17, 693.46 and 154.07 is: 231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.17 : 693.46 = 154.07 : x
  2. Step 2: Convert to fraction form
    462.17/693.46 = 154.07/x
  3. Step 3: Cross multiply
    462.17x = 693.46 × 154.07
  4. Step 4: Simplify right side
    462.17x = 106,840.71
  5. Step 5: Solve for x
    x = 106,840.71/462.17
  6. Step 6: Final answer
    x = 231.17

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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.