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Finding the Fourth Proportional to 238.80, 358.02 and 101.70

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Solution

The fourth proportional to 238.80, 358.02 and 101.70 is: 152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 358.02 = 101.70 : x
  2. Step 2: Convert to fraction form
    238.80/358.02 = 101.70/x
  3. Step 3: Cross multiply
    238.80x = 358.02 × 101.70
  4. Step 4: Simplify right side
    238.80x = 36,410.63
  5. Step 5: Solve for x
    x = 36,410.63/238.80
  6. Step 6: Final answer
    x = 152.47

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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.