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Finding the Fourth Proportional to 428.68, 643.14 and 140.08

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Solution

The fourth proportional to 428.68, 643.14 and 140.08 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.68 : 643.14 = 140.08 : x
  2. Step 2: Convert to fraction form
    428.68/643.14 = 140.08/x
  3. Step 3: Cross multiply
    428.68x = 643.14 × 140.08
  4. Step 4: Simplify right side
    428.68x = 90,091.05
  5. Step 5: Solve for x
    x = 90,091.05/428.68
  6. Step 6: Final answer
    x = 210.16

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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.