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Finding the Fourth Proportional to 273, 409.52 and 78.02

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Solution

The fourth proportional to 273, 409.52 and 78.02 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 409.52 = 78.02 : x
  2. Step 2: Convert to fraction form
    273/409.52 = 78.02/x
  3. Step 3: Cross multiply
    273x = 409.52 × 78.02
  4. Step 4: Simplify right side
    273x = 31,950.75
  5. Step 5: Solve for x
    x = 31,950.75/273
  6. Step 6: Final answer
    x = 117.04

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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.