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Finding the Fourth Proportional to 291.16, 436.47 and 188.20

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Solution

The fourth proportional to 291.16, 436.47 and 188.20 is: 282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 436.47 = 188.20 : x
  2. Step 2: Convert to fraction form
    291.16/436.47 = 188.20/x
  3. Step 3: Cross multiply
    291.16x = 436.47 × 188.20
  4. Step 4: Simplify right side
    291.16x = 82,143.65
  5. Step 5: Solve for x
    x = 82,143.65/291.16
  6. Step 6: Final answer
    x = 282.13

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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.