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Finding the Fourth Proportional to 530.09, 795.14 and 164.89

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Solution

The fourth proportional to 530.09, 795.14 and 164.89 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.09 : 795.14 = 164.89 : x
  2. Step 2: Convert to fraction form
    530.09/795.14 = 164.89/x
  3. Step 3: Cross multiply
    530.09x = 795.14 × 164.89
  4. Step 4: Simplify right side
    530.09x = 131,109.06
  5. Step 5: Solve for x
    x = 131,109.06/530.09
  6. Step 6: Final answer
    x = 247.33

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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.