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Finding the Fourth Proportional to 346.49, 478.14 and 189.11

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Solution

The fourth proportional to 346.49, 478.14 and 189.11 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.49 : 478.14 = 189.11 : x
  2. Step 2: Convert to fraction form
    346.49/478.14 = 189.11/x
  3. Step 3: Cross multiply
    346.49x = 478.14 × 189.11
  4. Step 4: Simplify right side
    346.49x = 90,421.06
  5. Step 5: Solve for x
    x = 90,421.06/346.49
  6. Step 6: Final answer
    x = 260.96

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