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Finding the Fourth Proportional to 210.08, 314.58 and 164.04

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Solution

The fourth proportional to 210.08, 314.58 and 164.04 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.08 : 314.58 = 164.04 : x
  2. Step 2: Convert to fraction form
    210.08/314.58 = 164.04/x
  3. Step 3: Cross multiply
    210.08x = 314.58 × 164.04
  4. Step 4: Simplify right side
    210.08x = 51,603.70
  5. Step 5: Solve for x
    x = 51,603.70/210.08
  6. Step 6: Final answer
    x = 245.64

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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.