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Finding the Fourth Proportional to 162.61, 242.66 and 148.03

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Solution

The fourth proportional to 162.61, 242.66 and 148.03 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 242.66 = 148.03 : x
  2. Step 2: Convert to fraction form
    162.61/242.66 = 148.03/x
  3. Step 3: Cross multiply
    162.61x = 242.66 × 148.03
  4. Step 4: Simplify right side
    162.61x = 35,920.72
  5. Step 5: Solve for x
    x = 35,920.72/162.61
  6. Step 6: Final answer
    x = 220.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.