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Finding the Fourth Proportional to 145.27, 218.04 and 120.16

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Solution

The fourth proportional to 145.27, 218.04 and 120.16 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.27 : 218.04 = 120.16 : x
  2. Step 2: Convert to fraction form
    145.27/218.04 = 120.16/x
  3. Step 3: Cross multiply
    145.27x = 218.04 × 120.16
  4. Step 4: Simplify right side
    145.27x = 26,199.69
  5. Step 5: Solve for x
    x = 26,199.69/145.27
  6. Step 6: Final answer
    x = 180.35

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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.