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Finding the Fourth Proportional to 218.78, 302.07 and 152.53

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Solution

The fourth proportional to 218.78, 302.07 and 152.53 is: 210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.78 : 302.07 = 152.53 : x
  2. Step 2: Convert to fraction form
    218.78/302.07 = 152.53/x
  3. Step 3: Cross multiply
    218.78x = 302.07 × 152.53
  4. Step 4: Simplify right side
    218.78x = 46,074.74
  5. Step 5: Solve for x
    x = 46,074.74/218.78
  6. Step 6: Final answer
    x = 210.60

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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.