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Finding the Fourth Proportional to 276.84, 415.08 and 145.08

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Solution

The fourth proportional to 276.84, 415.08 and 145.08 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 415.08 = 145.08 : x
  2. Step 2: Convert to fraction form
    276.84/415.08 = 145.08/x
  3. Step 3: Cross multiply
    276.84x = 415.08 × 145.08
  4. Step 4: Simplify right side
    276.84x = 60,219.81
  5. Step 5: Solve for x
    x = 60,219.81/276.84
  6. Step 6: Final answer
    x = 217.53

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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.