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Finding the Fourth Proportional to 230.58, 345.71 and 116.50

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Solution

The fourth proportional to 230.58, 345.71 and 116.50 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.58 : 345.71 = 116.50 : x
  2. Step 2: Convert to fraction form
    230.58/345.71 = 116.50/x
  3. Step 3: Cross multiply
    230.58x = 345.71 × 116.50
  4. Step 4: Simplify right side
    230.58x = 40,275.22
  5. Step 5: Solve for x
    x = 40,275.22/230.58
  6. Step 6: Final answer
    x = 174.67

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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.