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Finding the Fourth Proportional to 530.11, 795.17 and 140.08

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Solution

The fourth proportional to 530.11, 795.17 and 140.08 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.11 : 795.17 = 140.08 : x
  2. Step 2: Convert to fraction form
    530.11/795.17 = 140.08/x
  3. Step 3: Cross multiply
    530.11x = 795.17 × 140.08
  4. Step 4: Simplify right side
    530.11x = 111,387.41
  5. Step 5: Solve for x
    x = 111,387.41/530.11
  6. Step 6: Final answer
    x = 210.12

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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.