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Finding the Fourth Proportional to 152.55, 210.74 and 135.14

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Solution

The fourth proportional to 152.55, 210.74 and 135.14 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.55 : 210.74 = 135.14 : x
  2. Step 2: Convert to fraction form
    152.55/210.74 = 135.14/x
  3. Step 3: Cross multiply
    152.55x = 210.74 × 135.14
  4. Step 4: Simplify right side
    152.55x = 28,477.67
  5. Step 5: Solve for x
    x = 28,477.67/152.55
  6. Step 6: Final answer
    x = 186.68

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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.