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Finding the Fourth Proportional to 233.85, 322.47 and 146.52

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Solution

The fourth proportional to 233.85, 322.47 and 146.52 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 322.47 = 146.52 : x
  2. Step 2: Convert to fraction form
    233.85/322.47 = 146.52/x
  3. Step 3: Cross multiply
    233.85x = 322.47 × 146.52
  4. Step 4: Simplify right side
    233.85x = 47,248.30
  5. Step 5: Solve for x
    x = 47,248.30/233.85
  6. Step 6: Final answer
    x = 202.05

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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.