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Finding the Fourth Proportional to 314.14, 471.48 and 206.06

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Solution

The fourth proportional to 314.14, 471.48 and 206.06 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.14 : 471.48 = 206.06 : x
  2. Step 2: Convert to fraction form
    314.14/471.48 = 206.06/x
  3. Step 3: Cross multiply
    314.14x = 471.48 × 206.06
  4. Step 4: Simplify right side
    314.14x = 97,153.17
  5. Step 5: Solve for x
    x = 97,153.17/314.14
  6. Step 6: Final answer
    x = 309.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.