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Finding the Fourth Proportional to 233.51, 349.70 and 142.01

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Solution

The fourth proportional to 233.51, 349.70 and 142.01 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 349.70 = 142.01 : x
  2. Step 2: Convert to fraction form
    233.51/349.70 = 142.01/x
  3. Step 3: Cross multiply
    233.51x = 349.70 × 142.01
  4. Step 4: Simplify right side
    233.51x = 49,659.15
  5. Step 5: Solve for x
    x = 49,659.15/233.51
  6. Step 6: Final answer
    x = 212.66

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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.