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Finding the Fourth Proportional to 165.41, 228.19 and 152.29

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Solution

The fourth proportional to 165.41, 228.19 and 152.29 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.19 = 152.29 : x
  2. Step 2: Convert to fraction form
    165.41/228.19 = 152.29/x
  3. Step 3: Cross multiply
    165.41x = 228.19 × 152.29
  4. Step 4: Simplify right side
    165.41x = 34,751.67
  5. Step 5: Solve for x
    x = 34,751.67/165.41
  6. Step 6: Final answer
    x = 210.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.