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Finding the Fourth Proportional to 234.02, 351.08 and 97.06

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Solution

The fourth proportional to 234.02, 351.08 and 97.06 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 351.08 = 97.06 : x
  2. Step 2: Convert to fraction form
    234.02/351.08 = 97.06/x
  3. Step 3: Cross multiply
    234.02x = 351.08 × 97.06
  4. Step 4: Simplify right side
    234.02x = 34,075.82
  5. Step 5: Solve for x
    x = 34,075.82/234.02
  6. Step 6: Final answer
    x = 145.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.