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Finding the Fourth Proportional to 178.99, 268.45 and 49.00

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Solution

The fourth proportional to 178.99, 268.45 and 49.00 is: 73.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.99 : 268.45 = 49.00 : x
  2. Step 2: Convert to fraction form
    178.99/268.45 = 49.00/x
  3. Step 3: Cross multiply
    178.99x = 268.45 × 49.00
  4. Step 4: Simplify right side
    178.99x = 13,153.26
  5. Step 5: Solve for x
    x = 13,153.26/178.99
  6. Step 6: Final answer
    x = 73.49

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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.