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Finding the Fourth Proportional to 277.18, 382.53 and 192.14

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Solution

The fourth proportional to 277.18, 382.53 and 192.14 is: 265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.18 : 382.53 = 192.14 : x
  2. Step 2: Convert to fraction form
    277.18/382.53 = 192.14/x
  3. Step 3: Cross multiply
    277.18x = 382.53 × 192.14
  4. Step 4: Simplify right side
    277.18x = 73,499.31
  5. Step 5: Solve for x
    x = 73,499.31/277.18
  6. Step 6: Final answer
    x = 265.17

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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.