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Finding the Fourth Proportional to 354.54, 489.06 and 207.16

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Solution

The fourth proportional to 354.54, 489.06 and 207.16 is: 285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.54 : 489.06 = 207.16 : x
  2. Step 2: Convert to fraction form
    354.54/489.06 = 207.16/x
  3. Step 3: Cross multiply
    354.54x = 489.06 × 207.16
  4. Step 4: Simplify right side
    354.54x = 101,312.45
  5. Step 5: Solve for x
    x = 101,312.45/354.54
  6. Step 6: Final answer
    x = 285.76

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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.