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Finding the Fourth Proportional to 328.65, 493.10 and 146.03

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Solution

The fourth proportional to 328.65, 493.10 and 146.03 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.65 : 493.10 = 146.03 : x
  2. Step 2: Convert to fraction form
    328.65/493.10 = 146.03/x
  3. Step 3: Cross multiply
    328.65x = 493.10 × 146.03
  4. Step 4: Simplify right side
    328.65x = 72,006.66
  5. Step 5: Solve for x
    x = 72,006.66/328.65
  6. Step 6: Final answer
    x = 219.10

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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.