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Finding the Fourth Proportional to 184.64, 278.24 and 152.84

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Solution

The fourth proportional to 184.64, 278.24 and 152.84 is: 230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 278.24 = 152.84 : x
  2. Step 2: Convert to fraction form
    184.64/278.24 = 152.84/x
  3. Step 3: Cross multiply
    184.64x = 278.24 × 152.84
  4. Step 4: Simplify right side
    184.64x = 42,526.13
  5. Step 5: Solve for x
    x = 42,526.13/184.64
  6. Step 6: Final answer
    x = 230.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.