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Finding the Fourth Proportional to 233.34, 322.10 and 159.68

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Solution

The fourth proportional to 233.34, 322.10 and 159.68 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 322.10 = 159.68 : x
  2. Step 2: Convert to fraction form
    233.34/322.10 = 159.68/x
  3. Step 3: Cross multiply
    233.34x = 322.10 × 159.68
  4. Step 4: Simplify right side
    233.34x = 51,430.52
  5. Step 5: Solve for x
    x = 51,430.52/233.34
  6. Step 6: Final answer
    x = 220.41

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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.