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Finding the Fourth Proportional to 162.84, 224.88 and 145.66

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Solution

The fourth proportional to 162.84, 224.88 and 145.66 is: 201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.88 = 145.66 : x
  2. Step 2: Convert to fraction form
    162.84/224.88 = 145.66/x
  3. Step 3: Cross multiply
    162.84x = 224.88 × 145.66
  4. Step 4: Simplify right side
    162.84x = 32,756.02
  5. Step 5: Solve for x
    x = 32,756.02/162.84
  6. Step 6: Final answer
    x = 201.15

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