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Finding the Fourth Proportional to 282.40, 423.64 and 120.04

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Solution

The fourth proportional to 282.40, 423.64 and 120.04 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 423.64 = 120.04 : x
  2. Step 2: Convert to fraction form
    282.40/423.64 = 120.04/x
  3. Step 3: Cross multiply
    282.40x = 423.64 × 120.04
  4. Step 4: Simplify right side
    282.40x = 50,853.75
  5. Step 5: Solve for x
    x = 50,853.75/282.40
  6. Step 6: Final answer
    x = 180.08

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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.