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Finding the Fourth Proportional to 346.93, 478.80 and 214.14

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Solution

The fourth proportional to 346.93, 478.80 and 214.14 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.93 : 478.80 = 214.14 : x
  2. Step 2: Convert to fraction form
    346.93/478.80 = 214.14/x
  3. Step 3: Cross multiply
    346.93x = 478.80 × 214.14
  4. Step 4: Simplify right side
    346.93x = 102,531.43
  5. Step 5: Solve for x
    x = 102,531.43/346.93
  6. Step 6: Final answer
    x = 295.54

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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.