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Finding the Fourth Proportional to 178.10, 266.67 and 117.03

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Solution

The fourth proportional to 178.10, 266.67 and 117.03 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 266.67 = 117.03 : x
  2. Step 2: Convert to fraction form
    178.10/266.67 = 117.03/x
  3. Step 3: Cross multiply
    178.10x = 266.67 × 117.03
  4. Step 4: Simplify right side
    178.10x = 31,208.39
  5. Step 5: Solve for x
    x = 31,208.39/178.10
  6. Step 6: Final answer
    x = 175.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.