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Finding the Fourth Proportional to 175.72, 242.36 and 146.56

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Solution

The fourth proportional to 175.72, 242.36 and 146.56 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.72 : 242.36 = 146.56 : x
  2. Step 2: Convert to fraction form
    175.72/242.36 = 146.56/x
  3. Step 3: Cross multiply
    175.72x = 242.36 × 146.56
  4. Step 4: Simplify right side
    175.72x = 35,520.28
  5. Step 5: Solve for x
    x = 35,520.28/175.72
  6. Step 6: Final answer
    x = 202.14

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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.