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Finding the Fourth Proportional to 529.94, 795.06 and 164.72

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Solution

The fourth proportional to 529.94, 795.06 and 164.72 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.94 : 795.06 = 164.72 : x
  2. Step 2: Convert to fraction form
    529.94/795.06 = 164.72/x
  3. Step 3: Cross multiply
    529.94x = 795.06 × 164.72
  4. Step 4: Simplify right side
    529.94x = 130,958.31
  5. Step 5: Solve for x
    x = 130,958.31/529.94
  6. Step 6: Final answer
    x = 247.12

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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.