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Finding the Fourth Proportional to 211.42, 314.60 and 210.70

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Solution

The fourth proportional to 211.42, 314.60 and 210.70 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 314.60 = 210.70 : x
  2. Step 2: Convert to fraction form
    211.42/314.60 = 210.70/x
  3. Step 3: Cross multiply
    211.42x = 314.60 × 210.70
  4. Step 4: Simplify right side
    211.42x = 66,286.22
  5. Step 5: Solve for x
    x = 66,286.22/211.42
  6. Step 6: Final answer
    x = 313.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.