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Finding the Fourth Proportional to 329.16, 493.74 and 146.51

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Solution

The fourth proportional to 329.16, 493.74 and 146.51 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.16 : 493.74 = 146.51 : x
  2. Step 2: Convert to fraction form
    329.16/493.74 = 146.51/x
  3. Step 3: Cross multiply
    329.16x = 493.74 × 146.51
  4. Step 4: Simplify right side
    329.16x = 72,337.85
  5. Step 5: Solve for x
    x = 72,337.85/329.16
  6. Step 6: Final answer
    x = 219.77

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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.