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Finding the Fourth Proportional to 233.01, 320.76 and 200.07

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Solution

The fourth proportional to 233.01, 320.76 and 200.07 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 320.76 = 200.07 : x
  2. Step 2: Convert to fraction form
    233.01/320.76 = 200.07/x
  3. Step 3: Cross multiply
    233.01x = 320.76 × 200.07
  4. Step 4: Simplify right side
    233.01x = 64,174.45
  5. Step 5: Solve for x
    x = 64,174.45/233.01
  6. Step 6: Final answer
    x = 275.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.