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Finding the Fourth Proportional to 346.38, 478.01 and 189.01

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Solution

The fourth proportional to 346.38, 478.01 and 189.01 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.38 : 478.01 = 189.01 : x
  2. Step 2: Convert to fraction form
    346.38/478.01 = 189.01/x
  3. Step 3: Cross multiply
    346.38x = 478.01 × 189.01
  4. Step 4: Simplify right side
    346.38x = 90,348.67
  5. Step 5: Solve for x
    x = 90,348.67/346.38
  6. Step 6: Final answer
    x = 260.84

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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.