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Finding the Fourth Proportional to 328.21, 492.36 and 97.07

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Solution

The fourth proportional to 328.21, 492.36 and 97.07 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.21 : 492.36 = 97.07 : x
  2. Step 2: Convert to fraction form
    328.21/492.36 = 97.07/x
  3. Step 3: Cross multiply
    328.21x = 492.36 × 97.07
  4. Step 4: Simplify right side
    328.21x = 47,794.71
  5. Step 5: Solve for x
    x = 47,794.71/328.21
  6. Step 6: Final answer
    x = 145.62

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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.