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Finding the Fourth Proportional to 233.05, 349.54 and 96.06

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Solution

The fourth proportional to 233.05, 349.54 and 96.06 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 349.54 = 96.06 : x
  2. Step 2: Convert to fraction form
    233.05/349.54 = 96.06/x
  3. Step 3: Cross multiply
    233.05x = 349.54 × 96.06
  4. Step 4: Simplify right side
    233.05x = 33,577.17
  5. Step 5: Solve for x
    x = 33,577.17/233.05
  6. Step 6: Final answer
    x = 144.08

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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.