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Finding the Fourth Proportional to 161.29, 242.02 and 152.58

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Solution

The fourth proportional to 161.29, 242.02 and 152.58 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 242.02 = 152.58 : x
  2. Step 2: Convert to fraction form
    161.29/242.02 = 152.58/x
  3. Step 3: Cross multiply
    161.29x = 242.02 × 152.58
  4. Step 4: Simplify right side
    161.29x = 36,926.12
  5. Step 5: Solve for x
    x = 36,926.12/161.29
  6. Step 6: Final answer
    x = 228.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.