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Finding the Fourth Proportional to 273, 407.64 and 243.84

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Solution

The fourth proportional to 273, 407.64 and 243.84 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 407.64 = 243.84 : x
  2. Step 2: Convert to fraction form
    273/407.64 = 243.84/x
  3. Step 3: Cross multiply
    273x = 407.64 × 243.84
  4. Step 4: Simplify right side
    273x = 99,398.94
  5. Step 5: Solve for x
    x = 99,398.94/273
  6. Step 6: Final answer
    x = 364.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.