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Finding the Fourth Proportional to 233.02, 349.24 and 130.06

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Solution

The fourth proportional to 233.02, 349.24 and 130.06 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 349.24 = 130.06 : x
  2. Step 2: Convert to fraction form
    233.02/349.24 = 130.06/x
  3. Step 3: Cross multiply
    233.02x = 349.24 × 130.06
  4. Step 4: Simplify right side
    233.02x = 45,422.15
  5. Step 5: Solve for x
    x = 45,422.15/233.02
  6. Step 6: Final answer
    x = 194.93

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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.