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Finding the Fourth Proportional to 492.99, 739.25 and 146.31

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Solution

The fourth proportional to 492.99, 739.25 and 146.31 is: 219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.99 : 739.25 = 146.31 : x
  2. Step 2: Convert to fraction form
    492.99/739.25 = 146.31/x
  3. Step 3: Cross multiply
    492.99x = 739.25 × 146.31
  4. Step 4: Simplify right side
    492.99x = 108,159.67
  5. Step 5: Solve for x
    x = 108,159.67/492.99
  6. Step 6: Final answer
    x = 219.40

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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.