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Finding the Fourth Proportional to 530.06, 795.17 and 164.88

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Solution

The fourth proportional to 530.06, 795.17 and 164.88 is: 247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.06 : 795.17 = 164.88 : x
  2. Step 2: Convert to fraction form
    530.06/795.17 = 164.88/x
  3. Step 3: Cross multiply
    530.06x = 795.17 × 164.88
  4. Step 4: Simplify right side
    530.06x = 131,107.63
  5. Step 5: Solve for x
    x = 131,107.63/530.06
  6. Step 6: Final answer
    x = 247.34

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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.