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Finding the Fourth Proportional to 233.89, 322.89 and 146.68

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Solution

The fourth proportional to 233.89, 322.89 and 146.68 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.89 : 322.89 = 146.68 : x
  2. Step 2: Convert to fraction form
    233.89/322.89 = 146.68/x
  3. Step 3: Cross multiply
    233.89x = 322.89 × 146.68
  4. Step 4: Simplify right side
    233.89x = 47,359.89
  5. Step 5: Solve for x
    x = 47,359.89/233.89
  6. Step 6: Final answer
    x = 202.49

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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.