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Finding the Fourth Proportional to 425.18, 637.56 and 208.50

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Solution

The fourth proportional to 425.18, 637.56 and 208.50 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.18 : 637.56 = 208.50 : x
  2. Step 2: Convert to fraction form
    425.18/637.56 = 208.50/x
  3. Step 3: Cross multiply
    425.18x = 637.56 × 208.50
  4. Step 4: Simplify right side
    425.18x = 132,931.26
  5. Step 5: Solve for x
    x = 132,931.26/425.18
  6. Step 6: Final answer
    x = 312.65

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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.