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Finding the Fourth Proportional to 314.40, 471.76 and 206.16

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Solution

The fourth proportional to 314.40, 471.76 and 206.16 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.40 : 471.76 = 206.16 : x
  2. Step 2: Convert to fraction form
    314.40/471.76 = 206.16/x
  3. Step 3: Cross multiply
    314.40x = 471.76 × 206.16
  4. Step 4: Simplify right side
    314.40x = 97,258.04
  5. Step 5: Solve for x
    x = 97,258.04/314.40
  6. Step 6: Final answer
    x = 309.34

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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.