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Finding the Fourth Proportional to 162.84, 224.57 and 148.13

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Solution

The fourth proportional to 162.84, 224.57 and 148.13 is: 204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.57 = 148.13 : x
  2. Step 2: Convert to fraction form
    162.84/224.57 = 148.13/x
  3. Step 3: Cross multiply
    162.84x = 224.57 × 148.13
  4. Step 4: Simplify right side
    162.84x = 33,265.64
  5. Step 5: Solve for x
    x = 33,265.64/162.84
  6. Step 6: Final answer
    x = 204.28

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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.