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Finding the Fourth Proportional to 164.77, 247.02 and 62.00

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Solution

The fourth proportional to 164.77, 247.02 and 62.00 is: 92.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 247.02 = 62.00 : x
  2. Step 2: Convert to fraction form
    164.77/247.02 = 62.00/x
  3. Step 3: Cross multiply
    164.77x = 247.02 × 62.00
  4. Step 4: Simplify right side
    164.77x = 15,315.78
  5. Step 5: Solve for x
    x = 15,315.78/164.77
  6. Step 6: Final answer
    x = 92.95

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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.