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Finding the Fourth Proportional to 178.50, 266.50 and 152.84

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Solution

The fourth proportional to 178.50, 266.50 and 152.84 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 266.50 = 152.84 : x
  2. Step 2: Convert to fraction form
    178.50/266.50 = 152.84/x
  3. Step 3: Cross multiply
    178.50x = 266.50 × 152.84
  4. Step 4: Simplify right side
    178.50x = 40,731.86
  5. Step 5: Solve for x
    x = 40,731.86/178.50
  6. Step 6: Final answer
    x = 228.19

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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.