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Finding the Fourth Proportional to 301.19, 415.58 and 190.70

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Solution

The fourth proportional to 301.19, 415.58 and 190.70 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 415.58 = 190.70 : x
  2. Step 2: Convert to fraction form
    301.19/415.58 = 190.70/x
  3. Step 3: Cross multiply
    301.19x = 415.58 × 190.70
  4. Step 4: Simplify right side
    301.19x = 79,248.07
  5. Step 5: Solve for x
    x = 79,248.07/301.19
  6. Step 6: Final answer
    x = 263.12

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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.