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Finding the Fourth Proportional to 465.96, 699.01 and 141.35

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Solution

The fourth proportional to 465.96, 699.01 and 141.35 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 699.01 = 141.35 : x
  2. Step 2: Convert to fraction form
    465.96/699.01 = 141.35/x
  3. Step 3: Cross multiply
    465.96x = 699.01 × 141.35
  4. Step 4: Simplify right side
    465.96x = 98,807.07
  5. Step 5: Solve for x
    x = 98,807.07/465.96
  6. Step 6: Final answer
    x = 212.05

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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.