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Finding the Fourth Proportional to 233.55, 322.29 and 189.81

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Solution

The fourth proportional to 233.55, 322.29 and 189.81 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 322.29 = 189.81 : x
  2. Step 2: Convert to fraction form
    233.55/322.29 = 189.81/x
  3. Step 3: Cross multiply
    233.55x = 322.29 × 189.81
  4. Step 4: Simplify right side
    233.55x = 61,173.86
  5. Step 5: Solve for x
    x = 61,173.86/233.55
  6. Step 6: Final answer
    x = 261.93

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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.