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Finding the Fourth Proportional to 210.02, 315.03 and 164.40

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Solution

The fourth proportional to 210.02, 315.03 and 164.40 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 315.03 = 164.40 : x
  2. Step 2: Convert to fraction form
    210.02/315.03 = 164.40/x
  3. Step 3: Cross multiply
    210.02x = 315.03 × 164.40
  4. Step 4: Simplify right side
    210.02x = 51,790.93
  5. Step 5: Solve for x
    x = 51,790.93/210.02
  6. Step 6: Final answer
    x = 246.60

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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.