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Finding the Fourth Proportional to 354.71, 532.02 and 111.10

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Solution

The fourth proportional to 354.71, 532.02 and 111.10 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 532.02 = 111.10 : x
  2. Step 2: Convert to fraction form
    354.71/532.02 = 111.10/x
  3. Step 3: Cross multiply
    354.71x = 532.02 × 111.10
  4. Step 4: Simplify right side
    354.71x = 59,106.51
  5. Step 5: Solve for x
    x = 59,106.51/354.71
  6. Step 6: Final answer
    x = 166.64

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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.