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Finding the Fourth Proportional to 218.84, 302.04 and 152.77

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Solution

The fourth proportional to 218.84, 302.04 and 152.77 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 302.04 = 152.77 : x
  2. Step 2: Convert to fraction form
    218.84/302.04 = 152.77/x
  3. Step 3: Cross multiply
    218.84x = 302.04 × 152.77
  4. Step 4: Simplify right side
    218.84x = 46,142.65
  5. Step 5: Solve for x
    x = 46,142.65/218.84
  6. Step 6: Final answer
    x = 210.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.