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Finding the Fourth Proportional to 310.64, 428.32 and 194.08

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Solution

The fourth proportional to 310.64, 428.32 and 194.08 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 428.32 = 194.08 : x
  2. Step 2: Convert to fraction form
    310.64/428.32 = 194.08/x
  3. Step 3: Cross multiply
    310.64x = 428.32 × 194.08
  4. Step 4: Simplify right side
    310.64x = 83,128.35
  5. Step 5: Solve for x
    x = 83,128.35/310.64
  6. Step 6: Final answer
    x = 267.60

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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.