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Finding the Fourth Proportional to 212.84, 293.68 and 130

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Solution

The fourth proportional to 212.84, 293.68 and 130 is: 179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 293.68 = 130 : x
  2. Step 2: Convert to fraction form
    212.84/293.68 = 130/x
  3. Step 3: Cross multiply
    212.84x = 293.68 × 130
  4. Step 4: Simplify right side
    212.84x = 38,178.40
  5. Step 5: Solve for x
    x = 38,178.40/212.84
  6. Step 6: Final answer
    x = 179.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.