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Finding the Fourth Proportional to 530.38, 795.66 and 165.16

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Solution

The fourth proportional to 530.38, 795.66 and 165.16 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.38 : 795.66 = 165.16 : x
  2. Step 2: Convert to fraction form
    530.38/795.66 = 165.16/x
  3. Step 3: Cross multiply
    530.38x = 795.66 × 165.16
  4. Step 4: Simplify right side
    530.38x = 131,411.21
  5. Step 5: Solve for x
    x = 131,411.21/530.38
  6. Step 6: Final answer
    x = 247.77

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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.