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Finding the Fourth Proportional to 133.70, 199.58 and 117.50

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Solution

The fourth proportional to 133.70, 199.58 and 117.50 is: 175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.70 : 199.58 = 117.50 : x
  2. Step 2: Convert to fraction form
    133.70/199.58 = 117.50/x
  3. Step 3: Cross multiply
    133.70x = 199.58 × 117.50
  4. Step 4: Simplify right side
    133.70x = 23,450.65
  5. Step 5: Solve for x
    x = 23,450.65/133.70
  6. Step 6: Final answer
    x = 175.40

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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.