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Finding the Fourth Proportional to 430.16, 645.42 and 186.74

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Solution

The fourth proportional to 430.16, 645.42 and 186.74 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 645.42 = 186.74 : x
  2. Step 2: Convert to fraction form
    430.16/645.42 = 186.74/x
  3. Step 3: Cross multiply
    430.16x = 645.42 × 186.74
  4. Step 4: Simplify right side
    430.16x = 120,525.73
  5. Step 5: Solve for x
    x = 120,525.73/430.16
  6. Step 6: Final answer
    x = 280.19

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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.