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Finding the Fourth Proportional to 302.65, 453.78 and 194.53

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Solution

The fourth proportional to 302.65, 453.78 and 194.53 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 453.78 = 194.53 : x
  2. Step 2: Convert to fraction form
    302.65/453.78 = 194.53/x
  3. Step 3: Cross multiply
    302.65x = 453.78 × 194.53
  4. Step 4: Simplify right side
    302.65x = 88,273.82
  5. Step 5: Solve for x
    x = 88,273.82/302.65
  6. Step 6: Final answer
    x = 291.67

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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.