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Finding the Fourth Proportional to 356.78, 535.28 and 174.20

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Solution

The fourth proportional to 356.78, 535.28 and 174.20 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 535.28 = 174.20 : x
  2. Step 2: Convert to fraction form
    356.78/535.28 = 174.20/x
  3. Step 3: Cross multiply
    356.78x = 535.28 × 174.20
  4. Step 4: Simplify right side
    356.78x = 93,242.23
  5. Step 5: Solve for x
    x = 93,242.23/356.78
  6. Step 6: Final answer
    x = 261.35

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