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Finding the Fourth Proportional to 340.02, 468.90 and 209.07

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Solution

The fourth proportional to 340.02, 468.90 and 209.07 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 468.90 = 209.07 : x
  2. Step 2: Convert to fraction form
    340.02/468.90 = 209.07/x
  3. Step 3: Cross multiply
    340.02x = 468.90 × 209.07
  4. Step 4: Simplify right side
    340.02x = 98,032.92
  5. Step 5: Solve for x
    x = 98,032.92/340.02
  6. Step 6: Final answer
    x = 288.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.