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Finding the Fourth Proportional to 530.12, 795.23 and 140.13

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Solution

The fourth proportional to 530.12, 795.23 and 140.13 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.12 : 795.23 = 140.13 : x
  2. Step 2: Convert to fraction form
    530.12/795.23 = 140.13/x
  3. Step 3: Cross multiply
    530.12x = 795.23 × 140.13
  4. Step 4: Simplify right side
    530.12x = 111,432.25
  5. Step 5: Solve for x
    x = 111,432.25/530.12
  6. Step 6: Final answer
    x = 210.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.