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Finding the Fourth Proportional to 233.53, 322.14 and 146.05

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Solution

The fourth proportional to 233.53, 322.14 and 146.05 is: 201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 322.14 = 146.05 : x
  2. Step 2: Convert to fraction form
    233.53/322.14 = 146.05/x
  3. Step 3: Cross multiply
    233.53x = 322.14 × 146.05
  4. Step 4: Simplify right side
    233.53x = 47,046.21
  5. Step 5: Solve for x
    x = 47,046.21/233.53
  6. Step 6: Final answer
    x = 201.46

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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.