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Finding the Fourth Proportional to 200.76, 302.75 and 197.12

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Solution

The fourth proportional to 200.76, 302.75 and 197.12 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 302.75 = 197.12 : x
  2. Step 2: Convert to fraction form
    200.76/302.75 = 197.12/x
  3. Step 3: Cross multiply
    200.76x = 302.75 × 197.12
  4. Step 4: Simplify right side
    200.76x = 59,678.08
  5. Step 5: Solve for x
    x = 59,678.08/200.76
  6. Step 6: Final answer
    x = 297.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.