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Finding the Fourth Proportional to 299.02, 448.34 and 162.16

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Solution

The fourth proportional to 299.02, 448.34 and 162.16 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.02 : 448.34 = 162.16 : x
  2. Step 2: Convert to fraction form
    299.02/448.34 = 162.16/x
  3. Step 3: Cross multiply
    299.02x = 448.34 × 162.16
  4. Step 4: Simplify right side
    299.02x = 72,702.81
  5. Step 5: Solve for x
    x = 72,702.81/299.02
  6. Step 6: Final answer
    x = 243.14

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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.