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Finding the Fourth Proportional to 176.21, 242.94 and 146.73

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Solution

The fourth proportional to 176.21, 242.94 and 146.73 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 242.94 = 146.73 : x
  2. Step 2: Convert to fraction form
    176.21/242.94 = 146.73/x
  3. Step 3: Cross multiply
    176.21x = 242.94 × 146.73
  4. Step 4: Simplify right side
    176.21x = 35,646.59
  5. Step 5: Solve for x
    x = 35,646.59/176.21
  6. Step 6: Final answer
    x = 202.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.