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Finding the Fourth Proportional to 342.95, 514.55 and 206.10

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Solution

The fourth proportional to 342.95, 514.55 and 206.10 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.95 : 514.55 = 206.10 : x
  2. Step 2: Convert to fraction form
    342.95/514.55 = 206.10/x
  3. Step 3: Cross multiply
    342.95x = 514.55 × 206.10
  4. Step 4: Simplify right side
    342.95x = 106,048.76
  5. Step 5: Solve for x
    x = 106,048.76/342.95
  6. Step 6: Final answer
    x = 309.23

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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.