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Finding the Fourth Proportional to 176.98, 264.95 and 122.00

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Solution

The fourth proportional to 176.98, 264.95 and 122.00 is: 182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 264.95 = 122.00 : x
  2. Step 2: Convert to fraction form
    176.98/264.95 = 122.00/x
  3. Step 3: Cross multiply
    176.98x = 264.95 × 122.00
  4. Step 4: Simplify right side
    176.98x = 32,322.58
  5. Step 5: Solve for x
    x = 32,322.58/176.98
  6. Step 6: Final answer
    x = 182.64

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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.