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Finding the Fourth Proportional to 415.77, 623.48 and 141.84

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Solution

The fourth proportional to 415.77, 623.48 and 141.84 is: 212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 623.48 = 141.84 : x
  2. Step 2: Convert to fraction form
    415.77/623.48 = 141.84/x
  3. Step 3: Cross multiply
    415.77x = 623.48 × 141.84
  4. Step 4: Simplify right side
    415.77x = 88,434.40
  5. Step 5: Solve for x
    x = 88,434.40/415.77
  6. Step 6: Final answer
    x = 212.70

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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.