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Finding the Fourth Proportional to 233.01, 352.28 and 233.01

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Solution

The fourth proportional to 233.01, 352.28 and 233.01 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 352.28 = 233.01 : x
  2. Step 2: Convert to fraction form
    233.01/352.28 = 233.01/x
  3. Step 3: Cross multiply
    233.01x = 352.28 × 233.01
  4. Step 4: Simplify right side
    233.01x = 82,085.35
  5. Step 5: Solve for x
    x = 82,085.35/233.01
  6. Step 6: Final answer
    x = 352.28

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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.