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Finding the Fourth Proportional to 233.41, 322.05 and 146.02

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Solution

The fourth proportional to 233.41, 322.05 and 146.02 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.41 : 322.05 = 146.02 : x
  2. Step 2: Convert to fraction form
    233.41/322.05 = 146.02/x
  3. Step 3: Cross multiply
    233.41x = 322.05 × 146.02
  4. Step 4: Simplify right side
    233.41x = 47,025.74
  5. Step 5: Solve for x
    x = 47,025.74/233.41
  6. Step 6: Final answer
    x = 201.47

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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.