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Finding the Fourth Proportional to 435.32, 653.09 and 161.42

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Solution

The fourth proportional to 435.32, 653.09 and 161.42 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 653.09 = 161.42 : x
  2. Step 2: Convert to fraction form
    435.32/653.09 = 161.42/x
  3. Step 3: Cross multiply
    435.32x = 653.09 × 161.42
  4. Step 4: Simplify right side
    435.32x = 105,417.72
  5. Step 5: Solve for x
    x = 105,417.72/435.32
  6. Step 6: Final answer
    x = 242.16

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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.