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Finding the Fourth Proportional to 244.86, 368.13 and 197.10

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Solution

The fourth proportional to 244.86, 368.13 and 197.10 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.86 : 368.13 = 197.10 : x
  2. Step 2: Convert to fraction form
    244.86/368.13 = 197.10/x
  3. Step 3: Cross multiply
    244.86x = 368.13 × 197.10
  4. Step 4: Simplify right side
    244.86x = 72,558.42
  5. Step 5: Solve for x
    x = 72,558.42/244.86
  6. Step 6: Final answer
    x = 296.33

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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.