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Finding the Fourth Proportional to 234.51, 354.56 and 234.51

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Solution

The fourth proportional to 234.51, 354.56 and 234.51 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.51 : 354.56 = 234.51 : x
  2. Step 2: Convert to fraction form
    234.51/354.56 = 234.51/x
  3. Step 3: Cross multiply
    234.51x = 354.56 × 234.51
  4. Step 4: Simplify right side
    234.51x = 83,146.69
  5. Step 5: Solve for x
    x = 83,146.69/234.51
  6. Step 6: Final answer
    x = 354.56

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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.