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Finding the Fourth Proportional to 175.28, 261.48 and 162.38

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Solution

The fourth proportional to 175.28, 261.48 and 162.38 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.28 : 261.48 = 162.38 : x
  2. Step 2: Convert to fraction form
    175.28/261.48 = 162.38/x
  3. Step 3: Cross multiply
    175.28x = 261.48 × 162.38
  4. Step 4: Simplify right side
    175.28x = 42,459.12
  5. Step 5: Solve for x
    x = 42,459.12/175.28
  6. Step 6: Final answer
    x = 242.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.