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Finding the Fourth Proportional to 234.77, 354.58 and 234.77

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Solution

The fourth proportional to 234.77, 354.58 and 234.77 is: 354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 354.58 = 234.77 : x
  2. Step 2: Convert to fraction form
    234.77/354.58 = 234.77/x
  3. Step 3: Cross multiply
    234.77x = 354.58 × 234.77
  4. Step 4: Simplify right side
    234.77x = 83,242.39
  5. Step 5: Solve for x
    x = 83,242.39/234.77
  6. Step 6: Final answer
    x = 354.58

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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.