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Finding the Fourth Proportional to 175.34, 262.35 and 117.70

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Solution

The fourth proportional to 175.34, 262.35 and 117.70 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 262.35 = 117.70 : x
  2. Step 2: Convert to fraction form
    175.34/262.35 = 117.70/x
  3. Step 3: Cross multiply
    175.34x = 262.35 × 117.70
  4. Step 4: Simplify right side
    175.34x = 30,877.94
  5. Step 5: Solve for x
    x = 30,877.94/175.34
  6. Step 6: Final answer
    x = 176.10

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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.