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Finding the Fourth Proportional to 346.02, 477.48 and 206.13

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Solution

The fourth proportional to 346.02, 477.48 and 206.13 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 477.48 = 206.13 : x
  2. Step 2: Convert to fraction form
    346.02/477.48 = 206.13/x
  3. Step 3: Cross multiply
    346.02x = 477.48 × 206.13
  4. Step 4: Simplify right side
    346.02x = 98,422.95
  5. Step 5: Solve for x
    x = 98,422.95/346.02
  6. Step 6: Final answer
    x = 284.44

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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.