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Finding the Fourth Proportional to 278.35, 417.49 and 105.01

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Solution

The fourth proportional to 278.35, 417.49 and 105.01 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.35 : 417.49 = 105.01 : x
  2. Step 2: Convert to fraction form
    278.35/417.49 = 105.01/x
  3. Step 3: Cross multiply
    278.35x = 417.49 × 105.01
  4. Step 4: Simplify right side
    278.35x = 43,840.62
  5. Step 5: Solve for x
    x = 43,840.62/278.35
  6. Step 6: Final answer
    x = 157.50

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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.