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Finding the Fourth Proportional to 277.40, 382.49 and 207.23

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Solution

The fourth proportional to 277.40, 382.49 and 207.23 is: 285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.49 = 207.23 : x
  2. Step 2: Convert to fraction form
    277.40/382.49 = 207.23/x
  3. Step 3: Cross multiply
    277.40x = 382.49 × 207.23
  4. Step 4: Simplify right side
    277.40x = 79,263.40
  5. Step 5: Solve for x
    x = 79,263.40/277.40
  6. Step 6: Final answer
    x = 285.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.