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Finding the Fourth Proportional to 228.14, 314.72 and 165.94

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Solution

The fourth proportional to 228.14, 314.72 and 165.94 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 314.72 = 165.94 : x
  2. Step 2: Convert to fraction form
    228.14/314.72 = 165.94/x
  3. Step 3: Cross multiply
    228.14x = 314.72 × 165.94
  4. Step 4: Simplify right side
    228.14x = 52,223.64
  5. Step 5: Solve for x
    x = 52,223.64/228.14
  6. Step 6: Final answer
    x = 228.92

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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.