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Finding the Fourth Proportional to 270.74, 373.82 and 253.33

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Solution

The fourth proportional to 270.74, 373.82 and 253.33 is: 349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 373.82 = 253.33 : x
  2. Step 2: Convert to fraction form
    270.74/373.82 = 253.33/x
  3. Step 3: Cross multiply
    270.74x = 373.82 × 253.33
  4. Step 4: Simplify right side
    270.74x = 94,697.62
  5. Step 5: Solve for x
    x = 94,697.62/270.74
  6. Step 6: Final answer
    x = 349.77

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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.