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Finding the Fourth Proportional to 302.96, 454.10 and 140.55

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Solution

The fourth proportional to 302.96, 454.10 and 140.55 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 454.10 = 140.55 : x
  2. Step 2: Convert to fraction form
    302.96/454.10 = 140.55/x
  3. Step 3: Cross multiply
    302.96x = 454.10 × 140.55
  4. Step 4: Simplify right side
    302.96x = 63,823.05
  5. Step 5: Solve for x
    x = 63,823.05/302.96
  6. Step 6: Final answer
    x = 210.67

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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.