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Finding the Fourth Proportional to 277.66, 383.02 and 167.07

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Solution

The fourth proportional to 277.66, 383.02 and 167.07 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 383.02 = 167.07 : x
  2. Step 2: Convert to fraction form
    277.66/383.02 = 167.07/x
  3. Step 3: Cross multiply
    277.66x = 383.02 × 167.07
  4. Step 4: Simplify right side
    277.66x = 63,991.36
  5. Step 5: Solve for x
    x = 63,991.36/277.66
  6. Step 6: Final answer
    x = 230.47

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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.