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Finding the Fourth Proportional to 356.73, 534.74 and 174.02

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Solution

The fourth proportional to 356.73, 534.74 and 174.02 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.73 : 534.74 = 174.02 : x
  2. Step 2: Convert to fraction form
    356.73/534.74 = 174.02/x
  3. Step 3: Cross multiply
    356.73x = 534.74 × 174.02
  4. Step 4: Simplify right side
    356.73x = 93,055.45
  5. Step 5: Solve for x
    x = 93,055.45/356.73
  6. Step 6: Final answer
    x = 260.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.