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Finding the Fourth Proportional to 238.01, 328.47 and 133.10

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Solution

The fourth proportional to 238.01, 328.47 and 133.10 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.01 : 328.47 = 133.10 : x
  2. Step 2: Convert to fraction form
    238.01/328.47 = 133.10/x
  3. Step 3: Cross multiply
    238.01x = 328.47 × 133.10
  4. Step 4: Simplify right side
    238.01x = 43,720.18
  5. Step 5: Solve for x
    x = 43,720.18/238.01
  6. Step 6: Final answer
    x = 183.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.