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Finding the Fourth Proportional to 346.77, 478.47 and 199.45

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Solution

The fourth proportional to 346.77, 478.47 and 199.45 is: 275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 478.47 = 199.45 : x
  2. Step 2: Convert to fraction form
    346.77/478.47 = 199.45/x
  3. Step 3: Cross multiply
    346.77x = 478.47 × 199.45
  4. Step 4: Simplify right side
    346.77x = 95,430.84
  5. Step 5: Solve for x
    x = 95,430.84/346.77
  6. Step 6: Final answer
    x = 275.20

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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.