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Finding the Fourth Proportional to 493.49, 740.09 and 146.81

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Solution

The fourth proportional to 493.49, 740.09 and 146.81 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.49 : 740.09 = 146.81 : x
  2. Step 2: Convert to fraction form
    493.49/740.09 = 146.81/x
  3. Step 3: Cross multiply
    493.49x = 740.09 × 146.81
  4. Step 4: Simplify right side
    493.49x = 108,648.18
  5. Step 5: Solve for x
    x = 108,648.18/493.49
  6. Step 6: Final answer
    x = 220.17

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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.