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Finding the Fourth Proportional to 233.03, 349.59 and 96.07

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Solution

The fourth proportional to 233.03, 349.59 and 96.07 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 349.59 = 96.07 : x
  2. Step 2: Convert to fraction form
    233.03/349.59 = 96.07/x
  3. Step 3: Cross multiply
    233.03x = 349.59 × 96.07
  4. Step 4: Simplify right side
    233.03x = 33,585.11
  5. Step 5: Solve for x
    x = 33,585.11/233.03
  6. Step 6: Final answer
    x = 144.12

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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.