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Finding the Fourth Proportional to 434.72, 652.40 and 160.99

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Solution

The fourth proportional to 434.72, 652.40 and 160.99 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.72 : 652.40 = 160.99 : x
  2. Step 2: Convert to fraction form
    434.72/652.40 = 160.99/x
  3. Step 3: Cross multiply
    434.72x = 652.40 × 160.99
  4. Step 4: Simplify right side
    434.72x = 105,029.88
  5. Step 5: Solve for x
    x = 105,029.88/434.72
  6. Step 6: Final answer
    x = 241.60

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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.