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Finding the Fourth Proportional to 277.41, 415.97 and 101.64

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Solution

The fourth proportional to 277.41, 415.97 and 101.64 is: 152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 415.97 = 101.64 : x
  2. Step 2: Convert to fraction form
    277.41/415.97 = 101.64/x
  3. Step 3: Cross multiply
    277.41x = 415.97 × 101.64
  4. Step 4: Simplify right side
    277.41x = 42,278.68
  5. Step 5: Solve for x
    x = 42,278.68/277.41
  6. Step 6: Final answer
    x = 152.41

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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.