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Finding the Fourth Proportional to 162.69, 242.40 and 153.38

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Solution

The fourth proportional to 162.69, 242.40 and 153.38 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.69 : 242.40 = 153.38 : x
  2. Step 2: Convert to fraction form
    162.69/242.40 = 153.38/x
  3. Step 3: Cross multiply
    162.69x = 242.40 × 153.38
  4. Step 4: Simplify right side
    162.69x = 37,178.10
  5. Step 5: Solve for x
    x = 37,178.10/162.69
  6. Step 6: Final answer
    x = 228.52

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Why These Related Problems?

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