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Finding the Fourth Proportional to 302.85, 454.34 and 97.40

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Solution

The fourth proportional to 302.85, 454.34 and 97.40 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 454.34 = 97.40 : x
  2. Step 2: Convert to fraction form
    302.85/454.34 = 97.40/x
  3. Step 3: Cross multiply
    302.85x = 454.34 × 97.40
  4. Step 4: Simplify right side
    302.85x = 44,254.10
  5. Step 5: Solve for x
    x = 44,254.10/302.85
  6. Step 6: Final answer
    x = 146.13

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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.