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Finding the Fourth Proportional to 356.83, 534.87 and 174.16

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Solution

The fourth proportional to 356.83, 534.87 and 174.16 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.83 : 534.87 = 174.16 : x
  2. Step 2: Convert to fraction form
    356.83/534.87 = 174.16/x
  3. Step 3: Cross multiply
    356.83x = 534.87 × 174.16
  4. Step 4: Simplify right side
    356.83x = 93,152.96
  5. Step 5: Solve for x
    x = 93,152.96/356.83
  6. Step 6: Final answer
    x = 261.06

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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.