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Finding the Fourth Proportional to 233.42, 322.00 and 135.14

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Solution

The fourth proportional to 233.42, 322.00 and 135.14 is: 186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.42 : 322.00 = 135.14 : x
  2. Step 2: Convert to fraction form
    233.42/322.00 = 135.14/x
  3. Step 3: Cross multiply
    233.42x = 322.00 × 135.14
  4. Step 4: Simplify right side
    233.42x = 43,515.55
  5. Step 5: Solve for x
    x = 43,515.55/233.42
  6. Step 6: Final answer
    x = 186.42

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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.