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Finding the Fourth Proportional to 462.25, 693.24 and 154.03

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Solution

The fourth proportional to 462.25, 693.24 and 154.03 is: 231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 693.24 = 154.03 : x
  2. Step 2: Convert to fraction form
    462.25/693.24 = 154.03/x
  3. Step 3: Cross multiply
    462.25x = 693.24 × 154.03
  4. Step 4: Simplify right side
    462.25x = 106,779.76
  5. Step 5: Solve for x
    x = 106,779.76/462.25
  6. Step 6: Final answer
    x = 231.00

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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.