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Finding the Fourth Proportional to 140.55, 210.46 and 117.66

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Solution

The fourth proportional to 140.55, 210.46 and 117.66 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.55 : 210.46 = 117.66 : x
  2. Step 2: Convert to fraction form
    140.55/210.46 = 117.66/x
  3. Step 3: Cross multiply
    140.55x = 210.46 × 117.66
  4. Step 4: Simplify right side
    140.55x = 24,762.14
  5. Step 5: Solve for x
    x = 24,762.14/140.55
  6. Step 6: Final answer
    x = 176.19

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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.