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Finding the Fourth Proportional to 233.61, 322.36 and 135.35

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Solution

The fourth proportional to 233.61, 322.36 and 135.35 is: 186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.61 : 322.36 = 135.35 : x
  2. Step 2: Convert to fraction form
    233.61/322.36 = 135.35/x
  3. Step 3: Cross multiply
    233.61x = 322.36 × 135.35
  4. Step 4: Simplify right side
    233.61x = 43,631.43
  5. Step 5: Solve for x
    x = 43,631.43/233.61
  6. Step 6: Final answer
    x = 186.77

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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.