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Finding the Fourth Proportional to 346, 477.54 and 198.73

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Solution

The fourth proportional to 346, 477.54 and 198.73 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 477.54 = 198.73 : x
  2. Step 2: Convert to fraction form
    346/477.54 = 198.73/x
  3. Step 3: Cross multiply
    346x = 477.54 × 198.73
  4. Step 4: Simplify right side
    346x = 94,901.52
  5. Step 5: Solve for x
    x = 94,901.52/346
  6. Step 6: Final answer
    x = 274.28

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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.