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Finding the Fourth Proportional to 234.03, 349.71 and 175.08

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Solution

The fourth proportional to 234.03, 349.71 and 175.08 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.03 : 349.71 = 175.08 : x
  2. Step 2: Convert to fraction form
    234.03/349.71 = 175.08/x
  3. Step 3: Cross multiply
    234.03x = 349.71 × 175.08
  4. Step 4: Simplify right side
    234.03x = 61,227.51
  5. Step 5: Solve for x
    x = 61,227.51/234.03
  6. Step 6: Final answer
    x = 261.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.