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Finding the Fourth Proportional to 346.66, 478.42 and 199.34

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Solution

The fourth proportional to 346.66, 478.42 and 199.34 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.66 : 478.42 = 199.34 : x
  2. Step 2: Convert to fraction form
    346.66/478.42 = 199.34/x
  3. Step 3: Cross multiply
    346.66x = 478.42 × 199.34
  4. Step 4: Simplify right side
    346.66x = 95,368.24
  5. Step 5: Solve for x
    x = 95,368.24/346.66
  6. Step 6: Final answer
    x = 275.11

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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.