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Finding the Fourth Proportional to 449.98, 675.23 and 176.06

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Solution

The fourth proportional to 449.98, 675.23 and 176.06 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.98 : 675.23 = 176.06 : x
  2. Step 2: Convert to fraction form
    449.98/675.23 = 176.06/x
  3. Step 3: Cross multiply
    449.98x = 675.23 × 176.06
  4. Step 4: Simplify right side
    449.98x = 118,878.06
  5. Step 5: Solve for x
    x = 118,878.06/449.98
  6. Step 6: Final answer
    x = 264.19

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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.