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Finding the Fourth Proportional to 210.28, 315.26 and 102.04

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Solution

The fourth proportional to 210.28, 315.26 and 102.04 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.28 : 315.26 = 102.04 : x
  2. Step 2: Convert to fraction form
    210.28/315.26 = 102.04/x
  3. Step 3: Cross multiply
    210.28x = 315.26 × 102.04
  4. Step 4: Simplify right side
    210.28x = 32,169.13
  5. Step 5: Solve for x
    x = 32,169.13/210.28
  6. Step 6: Final answer
    x = 152.98

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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.