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Finding the Fourth Proportional to 302.48, 453.74 and 97.07

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Solution

The fourth proportional to 302.48, 453.74 and 97.07 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 453.74 = 97.07 : x
  2. Step 2: Convert to fraction form
    302.48/453.74 = 97.07/x
  3. Step 3: Cross multiply
    302.48x = 453.74 × 97.07
  4. Step 4: Simplify right side
    302.48x = 44,045.62
  5. Step 5: Solve for x
    x = 44,045.62/302.48
  6. Step 6: Final answer
    x = 145.61

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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.