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Finding the Fourth Proportional to 452.15, 678.16 and 144.03

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Solution

The fourth proportional to 452.15, 678.16 and 144.03 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.15 : 678.16 = 144.03 : x
  2. Step 2: Convert to fraction form
    452.15/678.16 = 144.03/x
  3. Step 3: Cross multiply
    452.15x = 678.16 × 144.03
  4. Step 4: Simplify right side
    452.15x = 97,675.38
  5. Step 5: Solve for x
    x = 97,675.38/452.15
  6. Step 6: Final answer
    x = 216.02

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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.