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Finding the Fourth Proportional to 237.06, 326.93 and 178.02

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Solution

The fourth proportional to 237.06, 326.93 and 178.02 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 326.93 = 178.02 : x
  2. Step 2: Convert to fraction form
    237.06/326.93 = 178.02/x
  3. Step 3: Cross multiply
    237.06x = 326.93 × 178.02
  4. Step 4: Simplify right side
    237.06x = 58,199.19
  5. Step 5: Solve for x
    x = 58,199.19/237.06
  6. Step 6: Final answer
    x = 245.50

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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.