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Finding the Fourth Proportional to 175.50, 242.26 and 117.45

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Solution

The fourth proportional to 175.50, 242.26 and 117.45 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 242.26 = 117.45 : x
  2. Step 2: Convert to fraction form
    175.50/242.26 = 117.45/x
  3. Step 3: Cross multiply
    175.50x = 242.26 × 117.45
  4. Step 4: Simplify right side
    175.50x = 28,453.14
  5. Step 5: Solve for x
    x = 28,453.14/175.50
  6. Step 6: Final answer
    x = 162.13

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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.