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Finding the Fourth Proportional to 302.95, 454.62 and 110.57

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Solution

The fourth proportional to 302.95, 454.62 and 110.57 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.95 : 454.62 = 110.57 : x
  2. Step 2: Convert to fraction form
    302.95/454.62 = 110.57/x
  3. Step 3: Cross multiply
    302.95x = 454.62 × 110.57
  4. Step 4: Simplify right side
    302.95x = 50,267.33
  5. Step 5: Solve for x
    x = 50,267.33/302.95
  6. Step 6: Final answer
    x = 165.93

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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.