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Finding the Fourth Proportional to 238.94, 358.56 and 102.01

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Solution

The fourth proportional to 238.94, 358.56 and 102.01 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.94 : 358.56 = 102.01 : x
  2. Step 2: Convert to fraction form
    238.94/358.56 = 102.01/x
  3. Step 3: Cross multiply
    238.94x = 358.56 × 102.01
  4. Step 4: Simplify right side
    238.94x = 36,577.86
  5. Step 5: Solve for x
    x = 36,577.86/238.94
  6. Step 6: Final answer
    x = 153.09

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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.