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Finding the Fourth Proportional to 277.72, 383.28 and 167.21

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Solution

The fourth proportional to 277.72, 383.28 and 167.21 is: 230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 383.28 = 167.21 : x
  2. Step 2: Convert to fraction form
    277.72/383.28 = 167.21/x
  3. Step 3: Cross multiply
    277.72x = 383.28 × 167.21
  4. Step 4: Simplify right side
    277.72x = 64,088.25
  5. Step 5: Solve for x
    x = 64,088.25/277.72
  6. Step 6: Final answer
    x = 230.77

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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.