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Finding the Fourth Proportional to 302.42, 453.62 and 97

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Solution

The fourth proportional to 302.42, 453.62 and 97 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 453.62 = 97 : x
  2. Step 2: Convert to fraction form
    302.42/453.62 = 97/x
  3. Step 3: Cross multiply
    302.42x = 453.62 × 97
  4. Step 4: Simplify right side
    302.42x = 44,001.14
  5. Step 5: Solve for x
    x = 44,001.14/302.42
  6. Step 6: Final answer
    x = 145.50

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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.