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Finding the Fourth Proportional to 328.48, 493.07 and 146.02

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Solution

The fourth proportional to 328.48, 493.07 and 146.02 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.48 : 493.07 = 146.02 : x
  2. Step 2: Convert to fraction form
    328.48/493.07 = 146.02/x
  3. Step 3: Cross multiply
    328.48x = 493.07 × 146.02
  4. Step 4: Simplify right side
    328.48x = 71,998.08
  5. Step 5: Solve for x
    x = 71,998.08/328.48
  6. Step 6: Final answer
    x = 219.19

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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.