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Finding the Fourth Proportional to 228.42, 314.48 and 212.02

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Solution

The fourth proportional to 228.42, 314.48 and 212.02 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 314.48 = 212.02 : x
  2. Step 2: Convert to fraction form
    228.42/314.48 = 212.02/x
  3. Step 3: Cross multiply
    228.42x = 314.48 × 212.02
  4. Step 4: Simplify right side
    228.42x = 66,675.79
  5. Step 5: Solve for x
    x = 66,675.79/228.42
  6. Step 6: Final answer
    x = 291.90

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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.