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Finding the Fourth Proportional to 302.33, 453.51 and 96.93

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Solution

The fourth proportional to 302.33, 453.51 and 96.93 is: 145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.33 : 453.51 = 96.93 : x
  2. Step 2: Convert to fraction form
    302.33/453.51 = 96.93/x
  3. Step 3: Cross multiply
    302.33x = 453.51 × 96.93
  4. Step 4: Simplify right side
    302.33x = 43,958.72
  5. Step 5: Solve for x
    x = 43,958.72/302.33
  6. Step 6: Final answer
    x = 145.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.