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Finding the Fourth Proportional to 210.50, 315.36 and 102.14

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Solution

The fourth proportional to 210.50, 315.36 and 102.14 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 315.36 = 102.14 : x
  2. Step 2: Convert to fraction form
    210.50/315.36 = 102.14/x
  3. Step 3: Cross multiply
    210.50x = 315.36 × 102.14
  4. Step 4: Simplify right side
    210.50x = 32,210.87
  5. Step 5: Solve for x
    x = 32,210.87/210.50
  6. Step 6: Final answer
    x = 153.02

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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.