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Finding the Fourth Proportional to 233.64, 350.01 and 142.07

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Solution

The fourth proportional to 233.64, 350.01 and 142.07 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 350.01 = 142.07 : x
  2. Step 2: Convert to fraction form
    233.64/350.01 = 142.07/x
  3. Step 3: Cross multiply
    233.64x = 350.01 × 142.07
  4. Step 4: Simplify right side
    233.64x = 49,724.17
  5. Step 5: Solve for x
    x = 49,724.17/233.64
  6. Step 6: Final answer
    x = 212.82

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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.