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Finding the Fourth Proportional to 328.85, 493.10 and 146.14

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Solution

The fourth proportional to 328.85, 493.10 and 146.14 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.85 : 493.10 = 146.14 : x
  2. Step 2: Convert to fraction form
    328.85/493.10 = 146.14/x
  3. Step 3: Cross multiply
    328.85x = 493.10 × 146.14
  4. Step 4: Simplify right side
    328.85x = 72,062.50
  5. Step 5: Solve for x
    x = 72,062.50/328.85
  6. Step 6: Final answer
    x = 219.14

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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.