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Finding the Fourth Proportional to 233.55, 322.18 and 189.81

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Solution

The fourth proportional to 233.55, 322.18 and 189.81 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 322.18 = 189.81 : x
  2. Step 2: Convert to fraction form
    233.55/322.18 = 189.81/x
  3. Step 3: Cross multiply
    233.55x = 322.18 × 189.81
  4. Step 4: Simplify right side
    233.55x = 61,152.51
  5. Step 5: Solve for x
    x = 61,152.51/233.55
  6. Step 6: Final answer
    x = 261.84

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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.