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Finding the Fourth Proportional to 237.91, 328.29 and 133.00

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Solution

The fourth proportional to 237.91, 328.29 and 133.00 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.91 : 328.29 = 133.00 : x
  2. Step 2: Convert to fraction form
    237.91/328.29 = 133.00/x
  3. Step 3: Cross multiply
    237.91x = 328.29 × 133.00
  4. Step 4: Simplify right side
    237.91x = 43,664.12
  5. Step 5: Solve for x
    x = 43,664.12/237.91
  6. Step 6: Final answer
    x = 183.53

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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.