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Finding the Fourth Proportional to 178.69, 266.59 and 149.99

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Solution

The fourth proportional to 178.69, 266.59 and 149.99 is: 223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 266.59 = 149.99 : x
  2. Step 2: Convert to fraction form
    178.69/266.59 = 149.99/x
  3. Step 3: Cross multiply
    178.69x = 266.59 × 149.99
  4. Step 4: Simplify right side
    178.69x = 39,985.83
  5. Step 5: Solve for x
    x = 39,985.83/178.69
  6. Step 6: Final answer
    x = 223.77

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Why These Related Problems?

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