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Finding the Fourth Proportional to 302.78, 454.10 and 97.38

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Solution

The fourth proportional to 302.78, 454.10 and 97.38 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 454.10 = 97.38 : x
  2. Step 2: Convert to fraction form
    302.78/454.10 = 97.38/x
  3. Step 3: Cross multiply
    302.78x = 454.10 × 97.38
  4. Step 4: Simplify right side
    302.78x = 44,220.26
  5. Step 5: Solve for x
    x = 44,220.26/302.78
  6. Step 6: Final answer
    x = 146.05

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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.