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Finding the Fourth Proportional to 328.30, 492.45 and 97.18

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Solution

The fourth proportional to 328.30, 492.45 and 97.18 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 492.45 = 97.18 : x
  2. Step 2: Convert to fraction form
    328.30/492.45 = 97.18/x
  3. Step 3: Cross multiply
    328.30x = 492.45 × 97.18
  4. Step 4: Simplify right side
    328.30x = 47,856.29
  5. Step 5: Solve for x
    x = 47,856.29/328.30
  6. Step 6: Final answer
    x = 145.77

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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.