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Finding the Fourth Proportional to 277.60, 383.07 and 167.14

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Solution

The fourth proportional to 277.60, 383.07 and 167.14 is: 230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.07 = 167.14 : x
  2. Step 2: Convert to fraction form
    277.60/383.07 = 167.14/x
  3. Step 3: Cross multiply
    277.60x = 383.07 × 167.14
  4. Step 4: Simplify right side
    277.60x = 64,026.32
  5. Step 5: Solve for x
    x = 64,026.32/277.60
  6. Step 6: Final answer
    x = 230.64

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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.