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Finding the Fourth Proportional to 273.30, 377.14 and 156.86

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Solution

The fourth proportional to 273.30, 377.14 and 156.86 is: 216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 377.14 = 156.86 : x
  2. Step 2: Convert to fraction form
    273.30/377.14 = 156.86/x
  3. Step 3: Cross multiply
    273.30x = 377.14 × 156.86
  4. Step 4: Simplify right side
    273.30x = 59,158.18
  5. Step 5: Solve for x
    x = 59,158.18/273.30
  6. Step 6: Final answer
    x = 216.46

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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.