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Finding the Fourth Proportional to 489.64, 734.45 and 165.00

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Solution

The fourth proportional to 489.64, 734.45 and 165.00 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 734.45 = 165.00 : x
  2. Step 2: Convert to fraction form
    489.64/734.45 = 165.00/x
  3. Step 3: Cross multiply
    489.64x = 734.45 × 165.00
  4. Step 4: Simplify right side
    489.64x = 121,186.50
  5. Step 5: Solve for x
    x = 121,186.50/489.64
  6. Step 6: Final answer
    x = 247.50

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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.