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Finding the Fourth Proportional to 350.71, 525.44 and 206.35

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Solution

The fourth proportional to 350.71, 525.44 and 206.35 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.71 : 525.44 = 206.35 : x
  2. Step 2: Convert to fraction form
    350.71/525.44 = 206.35/x
  3. Step 3: Cross multiply
    350.71x = 525.44 × 206.35
  4. Step 4: Simplify right side
    350.71x = 108,423.51
  5. Step 5: Solve for x
    x = 108,423.51/350.71
  6. Step 6: Final answer
    x = 309.15

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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.