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Finding the Fourth Proportional to 302.99, 454.05 and 164.07

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Solution

The fourth proportional to 302.99, 454.05 and 164.07 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 454.05 = 164.07 : x
  2. Step 2: Convert to fraction form
    302.99/454.05 = 164.07/x
  3. Step 3: Cross multiply
    302.99x = 454.05 × 164.07
  4. Step 4: Simplify right side
    302.99x = 74,495.98
  5. Step 5: Solve for x
    x = 74,495.98/302.99
  6. Step 6: Final answer
    x = 245.87

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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.