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Finding the Fourth Proportional to 537.19, 805.88 and 208.10

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Solution

The fourth proportional to 537.19, 805.88 and 208.10 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.19 : 805.88 = 208.10 : x
  2. Step 2: Convert to fraction form
    537.19/805.88 = 208.10/x
  3. Step 3: Cross multiply
    537.19x = 805.88 × 208.10
  4. Step 4: Simplify right side
    537.19x = 167,702.59
  5. Step 5: Solve for x
    x = 167,702.59/537.19
  6. Step 6: Final answer
    x = 312.19

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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.