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Finding the Fourth Proportional to 356.54, 533.86 and 210.17

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Solution

The fourth proportional to 356.54, 533.86 and 210.17 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.54 : 533.86 = 210.17 : x
  2. Step 2: Convert to fraction form
    356.54/533.86 = 210.17/x
  3. Step 3: Cross multiply
    356.54x = 533.86 × 210.17
  4. Step 4: Simplify right side
    356.54x = 112,201.36
  5. Step 5: Solve for x
    x = 112,201.36/356.54
  6. Step 6: Final answer
    x = 314.70

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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.