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Finding the Fourth Proportional to 346.89, 478.65 and 206.98

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Solution

The fourth proportional to 346.89, 478.65 and 206.98 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.89 : 478.65 = 206.98 : x
  2. Step 2: Convert to fraction form
    346.89/478.65 = 206.98/x
  3. Step 3: Cross multiply
    346.89x = 478.65 × 206.98
  4. Step 4: Simplify right side
    346.89x = 99,070.98
  5. Step 5: Solve for x
    x = 99,070.98/346.89
  6. Step 6: Final answer
    x = 285.60

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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.