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Finding the Fourth Proportional to 238.35, 357.06 and 184.08

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Solution

The fourth proportional to 238.35, 357.06 and 184.08 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.35 : 357.06 = 184.08 : x
  2. Step 2: Convert to fraction form
    238.35/357.06 = 184.08/x
  3. Step 3: Cross multiply
    238.35x = 357.06 × 184.08
  4. Step 4: Simplify right side
    238.35x = 65,727.60
  5. Step 5: Solve for x
    x = 65,727.60/238.35
  6. Step 6: Final answer
    x = 275.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.