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Finding the Fourth Proportional to 212.60, 317.80 and 164

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Solution

The fourth proportional to 212.60, 317.80 and 164 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 317.80 = 164 : x
  2. Step 2: Convert to fraction form
    212.60/317.80 = 164/x
  3. Step 3: Cross multiply
    212.60x = 317.80 × 164
  4. Step 4: Simplify right side
    212.60x = 52,119.20
  5. Step 5: Solve for x
    x = 52,119.20/212.60
  6. Step 6: Final answer
    x = 245.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.