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Finding the Fourth Proportional to 332.42, 498.50 and 195.50

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Solution

The fourth proportional to 332.42, 498.50 and 195.50 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.42 : 498.50 = 195.50 : x
  2. Step 2: Convert to fraction form
    332.42/498.50 = 195.50/x
  3. Step 3: Cross multiply
    332.42x = 498.50 × 195.50
  4. Step 4: Simplify right side
    332.42x = 97,456.75
  5. Step 5: Solve for x
    x = 97,456.75/332.42
  6. Step 6: Final answer
    x = 293.17

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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.