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Finding the Fourth Proportional to 346.34, 478.02 and 206.54

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Solution

The fourth proportional to 346.34, 478.02 and 206.54 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.34 : 478.02 = 206.54 : x
  2. Step 2: Convert to fraction form
    346.34/478.02 = 206.54/x
  3. Step 3: Cross multiply
    346.34x = 478.02 × 206.54
  4. Step 4: Simplify right side
    346.34x = 98,731.95
  5. Step 5: Solve for x
    x = 98,731.95/346.34
  6. Step 6: Final answer
    x = 285.07

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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.