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Finding the Fourth Proportional to 233.83, 322.68 and 135.64

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Solution

The fourth proportional to 233.83, 322.68 and 135.64 is: 187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.83 : 322.68 = 135.64 : x
  2. Step 2: Convert to fraction form
    233.83/322.68 = 135.64/x
  3. Step 3: Cross multiply
    233.83x = 322.68 × 135.64
  4. Step 4: Simplify right side
    233.83x = 43,767.08
  5. Step 5: Solve for x
    x = 43,767.08/233.83
  6. Step 6: Final answer
    x = 187.18

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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.