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Finding the Fourth Proportional to 233.74, 322.22 and 145.16

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Solution

The fourth proportional to 233.74, 322.22 and 145.16 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 322.22 = 145.16 : x
  2. Step 2: Convert to fraction form
    233.74/322.22 = 145.16/x
  3. Step 3: Cross multiply
    233.74x = 322.22 × 145.16
  4. Step 4: Simplify right side
    233.74x = 46,772.73
  5. Step 5: Solve for x
    x = 46,772.73/233.74
  6. Step 6: Final answer
    x = 200.11

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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.