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Finding the Fourth Proportional to 233.51, 322.25 and 135.27

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Solution

The fourth proportional to 233.51, 322.25 and 135.27 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 322.25 = 135.27 : x
  2. Step 2: Convert to fraction form
    233.51/322.25 = 135.27/x
  3. Step 3: Cross multiply
    233.51x = 322.25 × 135.27
  4. Step 4: Simplify right side
    233.51x = 43,590.08
  5. Step 5: Solve for x
    x = 43,590.08/233.51
  6. Step 6: Final answer
    x = 186.68

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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.