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Finding the Fourth Proportional to 233.50, 322.14 and 146.26

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Solution

The fourth proportional to 233.50, 322.14 and 146.26 is: 201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 322.14 = 146.26 : x
  2. Step 2: Convert to fraction form
    233.50/322.14 = 146.26/x
  3. Step 3: Cross multiply
    233.50x = 322.14 × 146.26
  4. Step 4: Simplify right side
    233.50x = 47,116.20
  5. Step 5: Solve for x
    x = 47,116.20/233.50
  6. Step 6: Final answer
    x = 201.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.