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Finding the Fourth Proportional to 273.72, 377.64 and 253.02

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Solution

The fourth proportional to 273.72, 377.64 and 253.02 is: 349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 377.64 = 253.02 : x
  2. Step 2: Convert to fraction form
    273.72/377.64 = 253.02/x
  3. Step 3: Cross multiply
    273.72x = 377.64 × 253.02
  4. Step 4: Simplify right side
    273.72x = 95,550.47
  5. Step 5: Solve for x
    x = 95,550.47/273.72
  6. Step 6: Final answer
    x = 349.08

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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.