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Finding the Fourth Proportional to 328.87, 493.14 and 146.05

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Solution

The fourth proportional to 328.87, 493.14 and 146.05 is: 219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.87 : 493.14 = 146.05 : x
  2. Step 2: Convert to fraction form
    328.87/493.14 = 146.05/x
  3. Step 3: Cross multiply
    328.87x = 493.14 × 146.05
  4. Step 4: Simplify right side
    328.87x = 72,023.10
  5. Step 5: Solve for x
    x = 72,023.10/328.87
  6. Step 6: Final answer
    x = 219.00

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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.