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Finding the Fourth Proportional to 178.70, 268.10 and 130.00

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Solution

The fourth proportional to 178.70, 268.10 and 130.00 is: 195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.70 : 268.10 = 130.00 : x
  2. Step 2: Convert to fraction form
    178.70/268.10 = 130.00/x
  3. Step 3: Cross multiply
    178.70x = 268.10 × 130.00
  4. Step 4: Simplify right side
    178.70x = 34,851.68
  5. Step 5: Solve for x
    x = 34,851.68/178.70
  6. Step 6: Final answer
    x = 195.03

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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.