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Finding the Fourth Proportional to 162.68, 244.26 and 152.40

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Solution

The fourth proportional to 162.68, 244.26 and 152.40 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 244.26 = 152.40 : x
  2. Step 2: Convert to fraction form
    162.68/244.26 = 152.40/x
  3. Step 3: Cross multiply
    162.68x = 244.26 × 152.40
  4. Step 4: Simplify right side
    162.68x = 37,225.22
  5. Step 5: Solve for x
    x = 37,225.22/162.68
  6. Step 6: Final answer
    x = 228.82

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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.