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Finding the Fourth Proportional to 291.15, 436.50 and 117.81

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Solution

The fourth proportional to 291.15, 436.50 and 117.81 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.15 : 436.50 = 117.81 : x
  2. Step 2: Convert to fraction form
    291.15/436.50 = 117.81/x
  3. Step 3: Cross multiply
    291.15x = 436.50 × 117.81
  4. Step 4: Simplify right side
    291.15x = 51,424.07
  5. Step 5: Solve for x
    x = 51,424.07/291.15
  6. Step 6: Final answer
    x = 176.62

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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.