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Finding the Fourth Proportional to 233.34, 322 and 135.10

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Solution

The fourth proportional to 233.34, 322 and 135.10 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 322 = 135.10 : x
  2. Step 2: Convert to fraction form
    233.34/322 = 135.10/x
  3. Step 3: Cross multiply
    233.34x = 322 × 135.10
  4. Step 4: Simplify right side
    233.34x = 43,502.20
  5. Step 5: Solve for x
    x = 43,502.20/233.34
  6. Step 6: Final answer
    x = 186.43

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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.